Mathematics › Ellipse
Ellipse Questions
183 questions across 11 subtopics — with step-by-step solutions.
Auxillary Circle(6)
- The line passing through the extremity of... | Mathematics | TestHub
- The line passing through the extremityof t... | Mathematics | TestHub
- Consider the ellipse . Let , be a point. A... | Mathematics | TestHub
- Let the ellipseintersect the positive- and... | Mathematics | TestHub
- Any ordinate MP of the ellipse \frac{x^{2}... | Mathematics | TestHub
- P_{1}, P_{2} \ldots ., P_{i}, \ldots . P_{... | Mathematics | TestHub
Chord of Contact(4)
Chord with given Middle Point(9)
- Letbe the ellipse. For any three distinct... | Mathematics | TestHub
- The length of the chord of the ellipse, wh... | Mathematics | TestHub
- The equation of the chord, of the ellipse... | Mathematics | TestHub
- The length of the chord of the ellipse , w... | Mathematics | TestHub
- If is the equation of the chord of the ell... | Mathematics | TestHub
- If the midpoint of a chord of the ellipse... | Mathematics | TestHub
- Which of the following options is the only... | Mathematics | TestHub
- Which of the following options is the only... | Mathematics | TestHub
- Which of the following options is the only... | Mathematics | TestHub
Chords(3)
General(112)
- The foci of the ellipse and the hyperbola... | Mathematics | TestHub
- The eccentricity of an ellipse, with its c... | Mathematics | TestHub
- An ellipse has as semi minor axis, and its... | Mathematics | TestHub
- In an ellipse, the distance between its fo... | Mathematics | TestHub
- A hyperbola, having the transverse axis of... | Mathematics | TestHub
- A focus of an ellipse is at the origin. Th... | Mathematics | TestHub
- Let and , be the end points of the latusre... | Mathematics | TestHub
- The normal at a point on the ellipse meets... | Mathematics | TestHub
- The ellipse is inscribed in a rectangle al... | Mathematics | TestHub
- An ellipse intersects the hyperbola orthog... | Mathematics | TestHub
- Paragraph:Tangents are drawn from the poin... | Mathematics | TestHub
- Equation of the ellipse whose axes are the... | Mathematics | TestHub
- The equation of the ellipse with focus at... | Mathematics | TestHub
- If the foci of the ellipse coincide with t... | Mathematics | TestHub
- The ellipse is inscribed in a rectangle wh... | Mathematics | TestHub
- An ellipse is drawn by taking a diameter o... | Mathematics | TestHub
- Equation of the line passing through the p... | Mathematics | TestHub
- An ellipse has as semi minor axis, and its... | Mathematics | TestHub
- and are the foci of an ellipse and is an e... | Mathematics | TestHub
- Let the equations of two ellipses be If th... | Mathematics | TestHub
- If and are positive real numbers and the e... | Mathematics | TestHub
- A stair-case of length rests against a ver... | Mathematics | TestHub
- Ifis the semi-minor axis of an ellipse,and... | Mathematics | TestHub
- The eccentricity of an ellipse, with its c... | Mathematics | TestHub
- An ellipse passes through the foci of the... | Mathematics | TestHub
- The area (in sq. units) of the quadrilater... | Mathematics | TestHub
- If the distance between the foci of an ell... | Mathematics | TestHub
- The eccentricity of an ellipse having cent... | Mathematics | TestHub
- The eccentricity of an ellipse whose centr... | Mathematics | TestHub
- Ifis one of the angles between the normals... | Mathematics | TestHub
- Two setsandare as under:Then : | Mathematics | TestHub
- Consider two straight lines, each of which... | Mathematics | TestHub
- If the length of the latus rectum of an el... | Mathematics | TestHub
- If the length of the major axis of the ell... | Mathematics | TestHub
- An ellipse, with foci atandand minor axis... | Mathematics | TestHub
- Define the collectionsof ellipses andof re... | Mathematics | TestHub
- Let the length of the latus rectum of an e... | Mathematics | TestHub
- In an ellipse, with centre at the origin,... | Mathematics | TestHub
- Letandbe the foci of an ellipse andbe any... | Mathematics | TestHub
- LetwhereThenrepresents: | Mathematics | TestHub
- Letandbe two fixed points. Then, the locus... | Mathematics | TestHub
- If the distance between the foci of an ell... | Mathematics | TestHub
- If the co-ordinates of two pointsandareand... | Mathematics | TestHub
- The eccentricity of the ellipse whose majo... | Mathematics | TestHub
- LetLetbe another ellipse such that it touc... | Mathematics | TestHub
- The locus of mid-points of the line segmen... | Mathematics | TestHub
- An ellipse has as semi minor axis, and its... | Mathematics | TestHub
- Let an ellipse, passes throughand has ecce... | Mathematics | TestHub
- If the curveintersects the lineat two poin... | Mathematics | TestHub
- A ray of light throughis reflected at a po... | Mathematics | TestHub
- If the points of intersection of the ellip... | Mathematics | TestHub
- If the ellipsemeets the lineon the-axis an... | Mathematics | TestHub
- The locus of the mid-point of the line seg... | Mathematics | TestHub
- If the length of the latus rectum of the e... | Mathematics | TestHub
- Let the maximum area of the triangle that... | Mathematics | TestHub
- Let the eccentricity of an ellipse, be. If... | Mathematics | TestHub
- Letbe a focal chord of the parabolasuch th... | Mathematics | TestHub
- Let and be four points on the ellipse . Le... | Mathematics | TestHub
- Let an ellipse with centreand latus rectum... | Mathematics | TestHub
- Letbe a parabola with vertexand directrix.... | Mathematics | TestHub
- If the length of the minor axis of ellipse... | Mathematics | TestHub
- If the points of intersection of two disti... | Mathematics | TestHub
- Letandbe the points on the line. Let the p... | Mathematics | TestHub
- Letbe a point on the ellipse. Let the line... | Mathematics | TestHub
- Let and . If and denote the eccentricity a... | Mathematics | TestHub
- Let the line , intersect the -axis and -ax... | Mathematics | TestHub
- Letand | Mathematics | TestHub
- The length of the chord of the ellipse , w... | Mathematics | TestHub
- Let be an ellipse. Ellipses 's are constru... | Mathematics | TestHub
- Let the ellipse pass through the centre of... | Mathematics | TestHub
- If and are the foci of the ellipse and P b... | Mathematics | TestHub
- A line passing through the point intersect... | Mathematics | TestHub
- Letand | Mathematics | TestHub
- Let the length of a latus rectum of an ell... | Mathematics | TestHub
- The centre of a circle C is at the centre... | Mathematics | TestHub
- Let the length of a latus rectum of an ell... | Mathematics | TestHub
- If the length of the minor axis of an elli... | Mathematics | TestHub
- The length of the latus-rectum of the elli... | Mathematics | TestHub
- A line passing through the point intersect... | Mathematics | TestHub
- Let and be two distinct points on the elli... | Mathematics | TestHub
- Let the ellipse and have same eccentricity... | Mathematics | TestHub
- If the midpoint of a chord of the ellipse... | Mathematics | TestHub
- Let be the circle of minimum area enclosin... | Mathematics | TestHub
- Let the product of the focal distances of... | Mathematics | TestHub
- Let the product of the focal distances of... | Mathematics | TestHub
- The length of the latus-rectum of the elli... | Mathematics | TestHub
- If is the equation of the chord of the ell... | Mathematics | TestHub
- Let be the circle of minimum area enclosin... | Mathematics | TestHub
- If the ellipse \frac{x^{2}}{4}+\frac{y^{2}... | Mathematics | TestHub
- The perimeter of a triangle is 20 and the... | Mathematics | TestHub
- If P and Q are the ends of a pair of conju... | Mathematics | TestHub
- Coordinates of the vertices B \& C are (2,... | Mathematics | TestHub
- Coordinates of the vertices B \& C are (2,... | Mathematics | TestHub
- For any point A on x^{2}+16 y^{2}=4 with f... | Mathematics | TestHub
- Consider an ellipse, whose center is at th... | Mathematics | TestHub
- A circle concentric to an ellipse \frac{4... | Mathematics | TestHub
- If its eccentricity is e , then e^{2} is g... | Mathematics | TestHub
- For the ellipse \frac{x^{2}}{\sec ^{2} \al... | Mathematics | TestHub
- Let a>2 and the minimum of |x-a|+2|x-2| be... | Mathematics | TestHub
- The equation of an ellipse is given by 5 x... | Mathematics | TestHub
- If P is any point on the ellipse \frac{x^{... | Mathematics | TestHub
- Let P be a point on ellipse \frac{\mathrm{... | Mathematics | TestHub
- With the ellipse from above passage , tang... | Mathematics | TestHub
- An ellipse has minor-axis line x+2 y=3 , m... | Mathematics | TestHub
- The distance between the directrices of th... | Mathematics | TestHub
- An ellipse has focus (2,3) , eccentricity... | Mathematics | TestHub
- Given curves C_{1}: x^{2}-y^{2}=1(x<0) and... | Mathematics | TestHub
- Let P Q be a double ordinate of x^{2} / a^... | Mathematics | TestHub
- The ratio of the area of the ellipse and a... | Mathematics | TestHub
- The ellipse x^{2} / 16+y^{2} / b^{2}=1 is... | Mathematics | TestHub
- The equation of the curve on reflection of... | Mathematics | TestHub
- Coordinates of the vertices B \& C are (2,... | Mathematics | TestHub
Line and ellipse(4)
Miscellaneous/Mixed(8)
- Letandbe two distinct common tangents to t... | Mathematics | TestHub
- If a tangent of slope 2 of the ellipse \fr... | Mathematics | TestHub
- Consider two straight lines, each of which... | Mathematics | TestHub
- C1: x^2-y^2=1 (x<0); C2: xy=1 (y>0). Ellip... | Mathematics | TestHub
- Let P be the point on the curve 4 \mathrm{... | Mathematics | TestHub
- If \mathrm{e}=\frac{1}{2} and \left|\mathr... | Mathematics | TestHub
- A parabola passes through (1,0),(-1,0) and... | Mathematics | TestHub
- If represents an ellipse with major axis a... | Mathematics | TestHub
Normal to ellipse(3)
Position of point(2)
Tangent to ellipse(26)
- Paragraph:Tangents are drawn from the poin... | Mathematics | TestHub
- If the line is the directrix of the parabo... | Mathematics | TestHub
- A vertical line passing through the pointi... | Mathematics | TestHub
- Letandbe two ellipse whose centers are at... | Mathematics | TestHub
- Ifanddenote the lengths of the perpendicul... | Mathematics | TestHub
- Columns 1, 2 and 3 contain conics, equatio... | Mathematics | TestHub
- Columns 1, 2 and 3 contain conics, equatio... | Mathematics | TestHub
- The locus of the foot of perpendicular dra... | Mathematics | TestHub
- If touches the ellipse then | Mathematics | TestHub
- Consider the ellipse . Let be a point in t... | Mathematics | TestHub
- Let C be the circle and be two ellipses wh... | Mathematics | TestHub
- For the ellipse x^{2} / 16+y^{2} / 9=1 , c... | Mathematics | TestHub
- If a tangent of slope 2 of the ellipse \fr... | Mathematics | TestHub
- Tangent is drawn to ellipse x^{2} / 27+y^{... | Mathematics | TestHub
- The area of the quadrilateral formed by th... | Mathematics | TestHub
- The lines 3 x+5 y=20 and 3 x-5 y=20 are ta... | Mathematics | TestHub
- Let \mathrm{P}, \mathrm{Q} be two points o... | Mathematics | TestHub
- Tangents are drawn to the ellipse \frac{x^... | Mathematics | TestHub
- If the locus of middle points of portions... | Mathematics | TestHub
- Number of points on the ellipse \frac{x^{2... | Mathematics | TestHub
- A tangent to x^{2} / a^{2}+y^{2} / b^{2}=1... | Mathematics | TestHub
- Let E_{1} and E_{2} be two ellipses. The a... | Mathematics | TestHub
- A tangent to the ellipse x^{2}+4 y^{2}=4 m... | Mathematics | TestHub
- If L be the length of common tangent to th... | Mathematics | TestHub
- An ellipse is sliding along the coordinate... | Mathematics | TestHub
- If F_{1}, F_{2} are the feeet of the perpn... | Mathematics | TestHub
Tangents & Normals(6)
- How many tangents to the circle x^{2}+y^{2... | Mathematics | TestHub
- Tangents are drawn from any point on the c... | Mathematics | TestHub
- The neighbouring sides AB and BC of a squa... | Mathematics | TestHub
- Let \mathrm{P}, \mathrm{Q} be two points o... | Mathematics | TestHub
- The line (x / 2) \cos \theta+y \sin \theta... | Mathematics | TestHub
- Let \mathrm{P}, \mathrm{Q} be two points o... | Mathematics | TestHub
Practice Ellipse on TestHub
Get detailed step-by-step solutions, track your performance, and practice with timed tests.
