HSC Science (Computer Science) 11th Standard - Maharashtra State Board Question Bank Solutions

If A(4, 1) and B(5, 4), find the equation of the locus of point P if PA² = 3PB² 

A(2, 4) and B(5, 8), find the equation of the locus of point P such that PA² − PB² = 13

A(1, 6) and B(3, 5), find the equation of the locus of point P such that segment AB subtends right angle at P. (∠APB = 90°)

If the origin is shifted to the point O′(2, 3), the axes remaining parallel to the original axes, find the new co-ordinates of the point A(1, 3)

If the origin is shifted to the point O′(2, 3), the axes remaining parallel to the original axes, find the new coordinates of the point B(2, 5)

If the origin is shifted to the point O′(1, 3) the axes remaining parallel to the original axes, find the old coordinates of the point C(5, 4)

If the origin is shifted to the point O′(1, 3) the axes remaining parallel to the original axes, find the old coordinates of the point D(3, 3)

If the co-ordinates A(5, 14) change to B(8, 3) by shift of origin, find the co-ordinates of the point where the origin is shifted

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

3x − y + 2 = 0

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

x² + y² – 3x = 7

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

xy − 2x − 2y + 4 = 0

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

y² − 4x − 4y + 12 = 0

Find the equation of the circle with centre at origin and radius 4.

Find the equation of the circle with centre at (−3, −2) and radius 6.

Find the equation of the circle with centre at (2, −3) and radius 5.

Find the equation of the circle with centre at (−3, −3) passing through the point (−3, −6)

Find the centre and radius of the circle:

x² + y² = 25

Find the centre and radius of the circle:

(x − 5)² + (y − 3)² = 20

Find the centre and radius of the circle:

`(x - 1/2)^2 + (y + 1/3)^2 = 1/36`

Find the equation of the circle with centre at (a, b) touching the Y-axis