Mathematics › Circle
Circle Questions
215 questions across 14 subtopics — with step-by-step solutions.
(4)
Chord(2)
Chord, Intercept (Made by the circle)(1)
Common tangents to two circles(10)
- The number of common tangents of the circl... | Mathematics | TestHub
- The set of all real values of for which ex... | Mathematics | TestHub
- For the two circles and , there is/are | Mathematics | TestHub
- The number of common tangents to the circl... | Mathematics | TestHub
- Three circles of radiitouch each other ext... | Mathematics | TestHub
- The number of common tangents, to the circ... | Mathematics | TestHub
- Letandbe two circles. If the set of all va... | Mathematics | TestHub
- Let the linepass through the point of the... | Mathematics | TestHub
- As shown in figure three circles which hav... | Mathematics | TestHub
- The centres of two circles C_{1} and C_{2}... | Mathematics | TestHub
Equation of chord with given middle point Chord of contact Pair of Tangents(12)
- Two parallel chords of a circle of radius... | Mathematics | TestHub
- Letbe the line passing through the pointsa... | Mathematics | TestHub
- Paragraph: Letbe the circle in the– plane... | Mathematics | TestHub
- Let the tangents drawn from the origin to... | Mathematics | TestHub
- Letbe the centre of the circleLet the tang... | Mathematics | TestHub
- Two tangents are drawn from the pointto th... | Mathematics | TestHub
- Let the tangents at two pointsandon the ci... | Mathematics | TestHub
- Let the tangent to the circleat the pointi... | Mathematics | TestHub
- Letbe a chord of lengthof the circleIf tan... | Mathematics | TestHub
- Pointsandlie on a circlewithas its diamete... | Mathematics | TestHub
- Let the locus of the mid points of the cho... | Mathematics | TestHub
- The tangents drawn from the origin to the... | Mathematics | TestHub
Family of circles(16)
- Let be the length of the common chord of t... | Mathematics | TestHub
- If two parallel chords of a circle, having... | Mathematics | TestHub
- If the circlesand, intersect at the points... | Mathematics | TestHub
- Let the circlesandintersect at the pointsa... | Mathematics | TestHub
- If the angle of intersection at a point wh... | Mathematics | TestHub
- If one of the diameters of the circleis a... | Mathematics | TestHub
- If one of the diameters of the circleis a... | Mathematics | TestHub
- Letbe a circle of radius. Letbecircles of... | Mathematics | TestHub
- Consider two circlesand, where. Let the an... | Mathematics | TestHub
- Let the centre of a circle, passing throug... | Mathematics | TestHub
- Let the circles and touch each other exter... | Mathematics | TestHub
- Let the circle and be a circle having cent... | Mathematics | TestHub
- A circle of radius 2 lies in the second qu... | Mathematics | TestHub
- Circles are drawn through (1,1) touching t... | Mathematics | TestHub
- Let C_{1}: x^{2}+y^{2}=1 ; C_{2}:(x-10)^{2... | Mathematics | TestHub
- \quad r be radius of incircle of triangle... | Mathematics | TestHub
General(9)
- Let the arc of a circle subtend a right an... | Mathematics | TestHub
- If the four distinct points and lie on a c... | Mathematics | TestHub
- Let a circle pass through the points and ,... | Mathematics | TestHub
- Let be the circle in the third quadrant of... | Mathematics | TestHub
- Let the equation of the circle, which touc... | Mathematics | TestHub
- Let circle be the image of in the line and... | Mathematics | TestHub
- The orthocentre of the triangle formed by... | Mathematics | TestHub
- If circle of constant radius 3 k passes th... | Mathematics | TestHub
- The equation of four circles are (x \pm a)... | Mathematics | TestHub
General, Basic geometries, Definition Diametrical form of circle(48)
- If the lines and are two diameters of a ci... | Mathematics | TestHub
- Let be the circle with centre and radius 3... | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- Paragraph:A circle of radius 1 is inscribe... | Mathematics | TestHub
- Tangents drawn from the point to the circl... | Mathematics | TestHub
- Paragraph:The circle and hyperbola interse... | Mathematics | TestHub
- The circle passing through the point and t... | Mathematics | TestHub
- The length of the diameter of the circle w... | Mathematics | TestHub
- The circle passing throughand touching the... | Mathematics | TestHub
- Circle(s) touching-axis at a distancefrom... | Mathematics | TestHub
- If the pointlies inside the circleand the... | Mathematics | TestHub
- If a circle passing through the pointtouch... | Mathematics | TestHub
- A circle passes throughand touches theaxis... | Mathematics | TestHub
- For how many values of, the circleand the... | Mathematics | TestHub
- A circle passes through the points and , 5... | Mathematics | TestHub
- A circle touching theaxis atand making an... | Mathematics | TestHub
- A rectangle is inscribed in a circle with... | Mathematics | TestHub
- A square is inscribed in the circle with i... | Mathematics | TestHub
- The diameter of the circle, whose Centre l... | Mathematics | TestHub
- Let the equationrepresent circles of varyi... | Mathematics | TestHub
- Letandbe two distinct points on a circle w... | Mathematics | TestHub
- Letandbe the radii of the largest and smal... | Mathematics | TestHub
- Consider a circlewhich touches theaxis ata... | Mathematics | TestHub
- Let and. Then the minimum value of such th... | Mathematics | TestHub
- Let the abscissae of the two pointsandbe t... | Mathematics | TestHub
- A rectanglewith end points of the one of i... | Mathematics | TestHub
- Let a trianglebe inscribed in the circlesu... | Mathematics | TestHub
- Let the abscissae of the two pointsandon a... | Mathematics | TestHub
- The set of values offor which the circleli... | Mathematics | TestHub
- Let the mirror image of a circlein linebe.... | Mathematics | TestHub
- If the circlepasses through the pointand i... | Mathematics | TestHub
- Letandbe two distinct points on a circle w... | Mathematics | TestHub
- A circle passing through the point in the... | Mathematics | TestHub
- Consider a circleLet its mirror image in t... | Mathematics | TestHub
- Four distinct pointsandlie on a circle for... | Mathematics | TestHub
- If the circlesandintersect at exactly two... | Mathematics | TestHub
- A circle is inscribed in an equilateral tr... | Mathematics | TestHub
- Let a circle passing through have its cent... | Mathematics | TestHub
- Let a variable line passing through the ce... | Mathematics | TestHub
- A square is inscribed in the circle . One... | Mathematics | TestHub
- Let be the circle in the third quadrant of... | Mathematics | TestHub
- If the four distinct points and lie on a c... | Mathematics | TestHub
- Let the equation of the circle, which touc... | Mathematics | TestHub
- The absolute difference between the square... | Mathematics | TestHub
- Let circle be the image of in the line and... | Mathematics | TestHub
- Line segment AC and BD are diameters of ci... | Mathematics | TestHub
- The centre of each of a set of circles, ea... | Mathematics | TestHub
- Radius of the smallest circle that can be... | Mathematics | TestHub
Miscellaneous/Mixed(39)
- Locus of mid point of the portion between... | Mathematics | TestHub
- If a circle passes through the point and c... | Mathematics | TestHub
- If the pair of lines lie along diameters o... | Mathematics | TestHub
- Tangents are drawn from the point to the c... | Mathematics | TestHub
- The point diametrically opposite to the po... | Mathematics | TestHub
- The centres of two circles and each of uni... | Mathematics | TestHub
- If each of the lines and contains a diamet... | Mathematics | TestHub
- If the circle touches the axis of , then a... | Mathematics | TestHub
- Statement 1: The only circle having radius... | Mathematics | TestHub
- A circle S passes through the point (0, 1)... | Mathematics | TestHub
- If the incentre of an equilateral triangle... | Mathematics | TestHub
- Let the tangents drawn to the circle,from... | Mathematics | TestHub
- Let RS be the diameter of the circlewhere,... | Mathematics | TestHub
- If a pointandis any point on the circle,,... | Mathematics | TestHub
- If a circle, whose radius is, touches exte... | Mathematics | TestHub
- Paragraph: Letbe the circle in the– plane... | Mathematics | TestHub
- If a circle of radiuspasses through the or... | Mathematics | TestHub
- The locus of the centres of the circles, w... | Mathematics | TestHub
- A circle cuts a chord of length 4 a on the... | Mathematics | TestHub
- If a tangent to the circleintersects the c... | Mathematics | TestHub
- Letandbe two points. Letbe a point on the... | Mathematics | TestHub
- For the four circles and following four eq... | Mathematics | TestHub
- If the locus of the mid-point of the line... | Mathematics | TestHub
- The locus of a point, which moves such tha... | Mathematics | TestHub
- Let and .Then the locus of center of a var... | Mathematics | TestHub
- Let the locus of the centre, of the circle... | Mathematics | TestHub
- A circle touches both the-axis and the lin... | Mathematics | TestHub
- A pointmoves so that the sum of squares of... | Mathematics | TestHub
- The points of intersection of the line,and... | Mathematics | TestHub
- Letbe the pointandbe any point on the curv... | Mathematics | TestHub
- The set of all values offor which the line... | Mathematics | TestHub
- A line segmentof lengthmoves such that the... | Mathematics | TestHub
- Let be the circle of radius with center at... | Mathematics | TestHub
- Let the arc of a circle subtend a right an... | Mathematics | TestHub
- If the curves \frac{x^{2}}{4}+y^{2}=1 and... | Mathematics | TestHub
- The locus of the centre of a circle which... | Mathematics | TestHub
- Let \mathrm{M}(-1,2) and \mathrm{N}(1,4) b... | Mathematics | TestHub
- \mathrm{D}, \mathrm{E}, \mathrm{F} are mid... | Mathematics | TestHub
- If the radius of the circle touching the p... | Mathematics | TestHub
Position of a point w.r.t a circle, Parametric equation of a circle(7)
- The straight line divides the circular reg... | Mathematics | TestHub
- If a variable lineis such that the two cir... | Mathematics | TestHub
- Let the circlebe such that it neither inte... | Mathematics | TestHub
- Let the pointlie inside the regionIf the s... | Mathematics | TestHub
- Let be the circle of minimum area touching... | Mathematics | TestHub
- Let a circle of radius 1 and closer to the... | Mathematics | TestHub
- The number of integral values of \alpha fo... | Mathematics | TestHub
Radical Axis & Radical Centre, Coaxial system of circles, Orthogonality of two circles(9)
- If the two circles and intersect in two di... | Mathematics | TestHub
- If a circle passes through the point and c... | Mathematics | TestHub
- If the circlesandintersect at two distinct... | Mathematics | TestHub
- Letandbe the centres of the circlesandresp... | Mathematics | TestHub
- Two circles with equal radii are intersect... | Mathematics | TestHub
- Choose the correct statement about two cir... | Mathematics | TestHub
- The minimum distance between any two point... | Mathematics | TestHub
- Choose the incorrect statement about the t... | Mathematics | TestHub
- Let S_{1} \equiv x^{2}+y^{2}-4 x-8 y+4=0 a... | Mathematics | TestHub
System of circles(4)
Tangent & Normal(53)
- If the chord of the circle subtends an ang... | Mathematics | TestHub
- The lines and are diameters of a circle ha... | Mathematics | TestHub
- If the lines and lie along diameters of a... | Mathematics | TestHub
- The intercept on the line by the circle is... | Mathematics | TestHub
- Let be a quadrilateral with area 18 , with... | Mathematics | TestHub
- Match the statements in Column I with the... | Mathematics | TestHub
- The circle intersects the line at two dist... | Mathematics | TestHub
- Paragraph: A tangent is drawn to the circl... | Mathematics | TestHub
- Paragraph: A tangent is drawn to the circl... | Mathematics | TestHub
- If the line meets the circle in two points... | Mathematics | TestHub
- The locus of the mid-point of the chord of... | Mathematics | TestHub
- Ifis the equation of a chord of the circle... | Mathematics | TestHub
- Equation of the tangent to the circle, at... | Mathematics | TestHub
- The circlewith centre at O, intersects the... | Mathematics | TestHub
- If one of the diameters of the circle, giv... | Mathematics | TestHub
- A line drawn through the pointcuts the cir... | Mathematics | TestHub
- The radius of a circle, having minimum are... | Mathematics | TestHub
- A circle passes through the pointsand. If... | Mathematics | TestHub
- The tangent to the circle at the point cut... | Mathematics | TestHub
- The sum of the squares of the lengths of t... | Mathematics | TestHub
- A lineintersects the circleat the pointsan... | Mathematics | TestHub
- The tangent and the normal lines at the po... | Mathematics | TestHub
- If a line, is a tangent to the circle, and... | Mathematics | TestHub
- The numbers of integral values offor which... | Mathematics | TestHub
- If the length of the chord of the circle,a... | Mathematics | TestHub
- If the variable line lies between the two... | Mathematics | TestHub
- The lineis a tangent to the circle at the... | Mathematics | TestHub
- Let the lengths of intercepts on-axis and-... | Mathematics | TestHub
- In the circle given below, letunit,unit an... | Mathematics | TestHub
- Let the linesandbe normal to a circle. If... | Mathematics | TestHub
- If the circlesand,, touch internally at th... | Mathematics | TestHub
- A circlepasses through the originand has d... | Mathematics | TestHub
- Let a circle, touch the-axis at. If the li... | Mathematics | TestHub
- Let a circletouch the linesand. If a line... | Mathematics | TestHub
- Letbe a circle passing through the pointsa... | Mathematics | TestHub
- Letbe the centre of the circleandbe a poin... | Mathematics | TestHub
- Let a circleof radiuslie below the-axis. T... | Mathematics | TestHub
- Consider ellipses. Letbe the circle which... | Mathematics | TestHub
- Two circles in the first quadrant of radii... | Mathematics | TestHub
- Let the centre of a circlebeand its radius... | Mathematics | TestHub
- The locus of the middle points of the chor... | Mathematics | TestHub
- Letandbe three tangent lines to the circle... | Mathematics | TestHub
- Let the straight line touch a circle with... | Mathematics | TestHub
- Let and be squares of side 4 and 2 units,... | Mathematics | TestHub
- Consider a circle, where. If the circle to... | Mathematics | TestHub
- Equations of two diameters of a circle are... | Mathematics | TestHub
- Let be a circle with radius units and cent... | Mathematics | TestHub
- If one of the diameters of the circleis a... | Mathematics | TestHub
- Let the line meet the circle at the points... | Mathematics | TestHub
- Let a circle pass through the points and ,... | Mathematics | TestHub
- For the circle x^{2}+y^{2}=r^{2} the value... | Mathematics | TestHub
- If \mathrm{m}(\mathrm{x}-2)+\sqrt{1-\mathr... | Mathematics | TestHub
- The number of points on y=\tan ^{-1} x, \f... | Mathematics | TestHub
Tangents & Normals(1)
Practice Circle on TestHub
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