Science (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

If b and c are lengths of the segments of any focal chord of the parabola y² = 4ax, then write the length of its latus-rectum. 

(vii)  find the equation of the hyperbola satisfying the given condition:

foci (± 4, 0), the latus-rectum = 12

If the parabola y² = 4ax passes through the point (3, 2), then find the length of its latus rectum. 

The vertex of the parabola (y + a)² = 8a (x − a) is 

If the focus of a parabola is (−2, 1) and the directrix has the equation x + y = 3, then its vertex is 

The length of the latus-rectum of the parabola y² + 8x − 2y + 17 = 0 is 

The vertex of the parabola x² + 8x + 12y + 4 = 0 is

The length of the latus-rectum of the parabola 4y² + 2x − 20y + 17 = 0 is 

The length of the latus-rectum of the parabola x² − 4x − 8y + 12 = 0 is 

The focus of the parabola y = 2x² + x is 

Which of the following points lie on the parabola x² = 4ay? 

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation:

Find the general solution of the following equation: