List of top Mathematics Questions on Conic sections asked in Karnataka PGCET

The equation of the parabola which is symmetric about the y-axis and passes through the point $(2, -3)$ is:
If the latus rectum of an ellipse is equal to half of the minor axis, then its eccentricity is:
The equation of the tangent at \( (2, -3) \) on the hyperbola \( x^2 - \frac{y^2}{3} = 1 \) is:
The distance between the foci of the hyperbola \( \frac{x^2}{16} - \frac{y^2}{9} = 1 \) is:
The length of the transverse axis of the hyperbola \(3x^2 - 4y^2 = 32\) is:
If eccentricity \(e = \frac13\), then the ratio of the major axis to the minor axis of the ellipse is:
Focus of the parabola \(y^2 - 8x - 32 = 0\) is: