Mathematics › Ellipse
Ellipse Questions
124 questions across 11 subtopics — with step-by-step solutions.
Auxillary Circle(3)
Chord of Contact(2)
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(2)
General(87)
- 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
- 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
- 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
- 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
- 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
- LetLetbe another ellipse such that it touc... | Mathematics | TestHub
- The locus of mid-points of the line segmen... | 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
- Consider an ellipse, whose center is at th... | Mathematics | TestHub
- For the ellipse \frac{x^{2}}{\sec ^{2} \al... | Mathematics | TestHub
- If P is any point on the ellipse \frac{x^{... | Mathematics | TestHub
- The ratio of the area of the ellipse and a... | Mathematics | TestHub
Line and ellipse(2)
Miscellaneous/Mixed(5)
- 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
- Let P be the point on the curve 4 \mathrm{... | Mathematics | TestHub
- If represents an ellipse with major axis a... | Mathematics | TestHub
Normal to ellipse(2)
Position of point(2)
Tangent to ellipse(7)
- Paragraph:Tangents are drawn from the poin... | Mathematics | TestHub
- A vertical line passing through the pointi... | Mathematics | TestHub
- Letandbe two ellipse whose centers are at... | Mathematics | TestHub
- Columns 1, 2 and 3 contain conics, equatio... | Mathematics | TestHub
- Columns 1, 2 and 3 contain conics, equatio... | 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
Tangents & Normals(3)
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