Ellipse questions
211 published questions with worked solutions.
- The straight line x + y = c will be tangent to the ellipse x^2 9 + y^2 16 = 1, c is equal to
- The sum of the focal distances of any point on the conic x^2 25 + y^2 16 = 1 is
- The area of the quadrilateral formed by the tangents at the end points of latus rectum to the ellipse x^2 9 + y^2 5 = 1 is
- Suppose S and S' are foci of the ellipse x^2 25 + y^2 16 = 1. If P is a variable point on the ellipse and if is area of the...
- The equation x^2 2 - - y^2 - 5 - 1 = 0, represent an ellipse, if
- The foci of an ellipse are (0, 4) and the equations for the directrices are y = 9. The equation for the ellipse is
- The equation of the ellipse having vertices at ( 5, 0) and foci at ( 4, 0) is
- If the ellipse 9x^2+16y^2=144 intercepts the line 3x+4y=12, then what is the length of the chord so formed?
- What is the equation of the ellipse having foci ( 2, 0) and the eccentricity 1 4 ?
- The position of the point (1, 2) relative to the ellipse 2x^2+7y^2=20 is
- The equation of the ellipse whose centre is at origin, major axis is along x-axis with eccentricity 3 4 and latus rectum 4 units...
- What is the equation of the ellipse whose vertices are ( 5, 0) and foci are at ( 4, 0)?
- If the angle between the lines joining the end points of minor axis of the ellipse x^2 a^2 + y^2 b^2 =1 with one of its foci is 2...
- Let P(x, y) be any point on the ellipse 25x^2+16y^2=400. If Q(0, 3) and R(0, -3) are two points, then what is (PQ+PR) equal to?
- What is the distance between the foci of the ellipse x^2+2y^2=1?
- The centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through (3, 2) and (1, 6), then what is...
- What is the eccentricity of the ellipse if the angle between the straight lines joining the foci to an extremity of the minor...
- The foci of the ellipse 4x^2+9y^2=1 are at Q and R. If P(x, y) is any point on the ellipse, then what is PQ+PR equal to?
- If any point on an ellipse is (3 , 5 ), then what is the eccentricity of the ellipse?
- The centre and one of the foci (F) of an ellipse are at (0, 0) and (-c, 0) respectively. If P(x, y) is any point on the ellipse...
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