List of top Mathematics Questions on Conic sections asked in WBJEE

The maximum number of common normals of \( y^2 = 4ax \) and \( x^2 = 4by \) is equal to:
If the lines joining the focii of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)  where a>b and an extremity of its minor axis is inclined at an angle 60°, then the eccentricity of the ellipse is
Let O be the vertex, Q be any point on the parabola x2=8y. If point P divides the line segment OQ internally in the ratio 1:3, then the locus of P is