Hyperbola questions
149 published questions with worked solutions.
- The equation of a line which is parallel to x - y = 0 and touches the hyperbola x^2 - 2y^2 = 18 is
- If a hyperbola passes through the focus of the ellipse x^2 25 + y^2 16 = 1 and its transverse and conjugate axes coincide with...
- A hyperbola, having the transverse axis of length 2 , is confocal with the ellipse 3x^2 + 4y^2 = 12. Then its equation is
- Consider a branch of the hyperbola x^2 - 2y^2 - 2 2 x - 4 2 y - 6 = 0 with vertex at the point A. Let B be one end of its latus...
- The line 2x + y = 1 is tangent to the hyperbola x^2 a^2 - y^2 b^2 = 1. If this line passes through the point of intersection of...
- Let the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 = 1 be reciprocal to that of the ellipse x^2 + 4y^2 = 4. If the hyperbola...
- The eccentricity of the hyperbola whose length of its conjugate axis is equal to half of the distance between its foci, is
- Let a and b respectively be the semi-transverse and semi-conjugate axes of a standard hyperbola whose eccentricity satisfies the...
- A hyperbola whose transverse axis is along the major axis of the conic x^2 3+ y^2 4 = 4 and has vertices at the foci of the...
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