List of top Mathematics Questions on sections of a cone asked in COMEDK UGET

If the foci of the ellipse \( \frac{x^2}{16}+\frac{y^2}{b^2}=1 \) and the foci of the hyperbola \( \frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25} \) coincide, then the value of \( b^2 \) is

The area of a triangle formed by the lines joining the vertex of the parabola \( x^2 = \lambda y \) to the ends of its latus rectum is 18 sq units then the value of \( \lambda \) is

The radius of the circle passes through the foci of a conic \( \frac{x^2}{16} + \frac{y^2}{9} = 1 \) and has its centre at \( (0, 3) \), then the diameter of the circle is ---

The length of the latus rectum of a conic \( 49y^2 - 16x^2 = 784 \) is