Hyperbola questions
149 published questions with worked solutions.
- The tangent at an extremity (in the first quadrant) of the latus rectum of the hyperbola x^2 4 - y^2 5 = 1, meets the x-axis and...
- Consider the ellipse E given by x^2 18 + y^2 12 =1. Let H be the hyperbola whose eccentricity is the reciprocal of the...
- The equation |z+i|-|z-i|=k represents a hyperbola if
- Let z=1-t+i t^2+t+2 , where t is a real parameter. The locus of z in the Argand plane is
- The eccentricity of the hyperbola x^2 - 4y^2 = 16 is
- The eccentricity of the conic section 4(x^2 - y^2) = 1 is
- The hyperbola x^2 a^2 - y^2 b^2 = 1 passes through the point (2, 3) and has the eccentricity 2. Then the transverse axis of the...
- If the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 = 1 is e then the eccentricity of the hyperbola y^2 b^2 - x^2 a^2 = 1 is
- If in a hyperbola the eccentricity is 3, and the distance between the foci is 9 then the equation of the hyperbola in the...
- If for a rectangular hyperbola a focus is (1, 2) and the corresponding directrix is x + y = 1 then the equation of the...
- If any point on a hyperbola has the coordinates (5 , 4 ) then the eccentricity of the hyperbola is
- The number of values of m for which the line y=mx+ m^2-4 touches the hyperbola 4(x^2-1)=y^2 is
- The line px+qy=r touches the hyperbola b^2x^2-a^2y^2=a^2b^2 if
- The normal to the rectangular hyperbola xy=c^2 at the point 't_1' meets the curve again at the point 't_2'. The value of t_1^3...
- The locus of a point P( , ) moving under the condition that the line y= x+ is a tangent to the hyperbola x^2 a^2 - y^2 b^2 =1 is
- A focus of the hyperbola 25x^2-36y^2=225 is
- If the line ax + by + c = 0 is a normal to the rectangular hyperbola xy = 1 then
- The equation of its conjugate hyperbola is
- The equation of the asymptotes of the hyperbola is
- If (a - 1, 2) is a point interior to the hyperbola but exterior to its conjugate hyperbola then the number of positive integral...
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