HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Write the parametric equations of the circle: 

x² + y² + 2x − 4y − 4 = 0

Write the parametric equations of the circle:

(x − 3)² + (y + 4)² = 25

Find the parametric representation of the circle:

3x² + 3y² − 4x + 6y − 4 = 0

Choose the correct alternative:

The parametric equations of the circle x² + y² + mx + my = 0 are

Find co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola:

5y² = 24x

Find co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola:

y² = –20x

Find co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola:

3x² = 8y

Find co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola:

x² = –8y

Find co-ordinate of focus, equation of directrix, length of latus rectum and the co-ordinate of end points of latus rectum of the parabola:

3y² = –16x

Find the equation of the parabola with vertex at the origin, axis along Y-axis and passing through the point (–10, –5).

Find the equation of the parabola with vertex at the origin, axis along X-axis and passing through the point (3, 4)

Find the equation of the parabola whose vertex is O(0, 0) and focus at (–7, 0).

Find the equation of the parabola with vertex at the origin, axis along X-axis and passing through the point (1, –6)

Find the equation of the parabola with vertex at the origin, axis along X-axis and passing through the point (2, 3)

For the parabola 3y² = 16x, find the parameter of the point (3, – 4).

For the parabola 3y² = 16x, find the parameter of the point (27, –12).

Find the focal distance of a point on the parabola y² = 16x whose ordinate is 2 times the abscissa

Find coordinates of the point on the parabola. Also, find focal distance.

y² = 12x whose parameter is `1/3`

Find coordinates of the point on the parabola. Also, find focal distance.

2y² = 7x whose parameter is –2

For the parabola y² = 4x, find the coordinate of the point whose focal distance is 17