Ellipse questions
211 published questions with worked solutions.
- The ellipse x^2 + 4y^2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which is turn in inscribed in another...
- The equation of the tangents to the ellipse 4x^2 + 3y^2 = 5, which are parallel to the line y = 3x + 7 are
- One of the directrices of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0 is
- The radius of the circle passing through the foci of the ellipse x^2 16 + y^2 9 = 1 and having its centre (0, 3) is
- Equation of the ellipse whose foci are (2, 2) and (4, 2) and the major axis is of length 10 is
- Equation of the latusrectum of the ellipse 9x^2 + 4y^2 - 18x - 8y - 23 = 0 are
- The parametric representation of a point on the ellipse whose foci are (-1, 0) and (7, 0) and eccentricity 1/2 is
- The foci of the ellipse 25x^2 + 16y^2 - 150x = 175 are
- The line x = at^2 meets the ellipse x^2 a^2 + y^2 b^2 = 1, in the real points, iff
- The line 3x + 5y = 15 2 is a tangent to the ellipse x^2 25 + y^2 9 = 1, at a point whose eccentric angle is
- Length of major axis of ellipse 9x^2 + 7y^2 = 63 is
- The eccentricity of the ellipse 9x^2 + 5y^2 - 18x - 20y - 16 = 0 is
- For the ellipse 24x^2 + 9y^2 - 120x - 90y + 225 = 0, the eccentricity is equal to
- The total number of tangents through the points (3, 5) that can be drawn to the ellipses 3x^2 + 5y^2 = 32 and 25x^2 + 9y^2 = 450...
- The eccentricity of the ellipse 25x^2 + 16y^2 - 150x - 175 = 0 is
- The curve represented by the equation 4x^2 + 16y^2 - 24x - 32y - 12 = 0 is
- Locus of the point which divides double ordinate of the ellipse x^2 a^2 + y^2 b^2 = 1 in the ratio 1 : 2 internally, is
- The centre of the ellipse 9x^2 + 25y^2 - 18x - 100y - 166 = 0, is
- How many real tangents can be drawn to the ellipse 5x^2 + 9y^2 = 32 form the point (2, 3)?
- The point (4, -3) with respect to the ellipse 4x^2 + 5y^2 = 1
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