List of top Mathematics Questions on Conic sections asked in TS POLYCET

If \( \alpha, \beta \) are the roots of \( 2x^2 - 4x + 5 = 0 \), then \( (\alpha + 1)(\beta + 1) = \):
The roots of the quadratic equation \( x^2 - 16 = 0 \) are:
The roots of quadratic equation \( 2x^2 + x - 4 = 0 \) are:
The zeroes of the quadratic polynomial \( x^2 + x - 2 \) are:
If the ratio of base radii of right circular cylinder and cone is 2 : 3 and the ratio of their heights is 3: 4, then the ratio of their volumes is
The ratio of volumes of two cones is 4:5 and the ratio of the radii of their bases is 2:3 then the ratio of their vertical height is
Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube then the length of the edge of the new cube is
A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m cross at the bottom. It is 6 m deep then its capacity is