Find the equation of ellipse, if foci are \((\pm 5,0)\) and a=6.

2

(a)

Find the equation of the ellipse, if length of major axis is 22 and foci \((\pm 3,0)\)

2

(a)

Find the equation of the ellipse, where distance between directices is 8 and distance between foci is 2

2

(a)

Find the equation of the circle whose centre is (2,-3) and which passes through the intersection of the lines 3x + 2y + 11 and 2x + 3y = 4

2

(a)

Find the equation of a circle concentric with the circle 2x +2y+8x+10y - 39 = 0 and having its area equals to 16\(\\ \pi \) sq units.

2

(a)

If one end of a diameter of circle  x²+y² - 4x - 6y+11 = 0 is (3,4), then find the coordinate of the other end of the diameter

2

(a)

Find the equation of the circle with, centre (1, 1) and radius \(\sqrt { 2 } \).

2

(a)

Find the equation of the circle with, centre (-a, -b) and radius \(\\ \sqrt { { a }^{ 2 }-{ b }^{ 2 } } \).

2

(a)

Find the centre and radius of each of the following circles:
2x²+2y²-4x-8y-17=0

2

(a)

Find the equation of a circle touching both the axis and passing through the point (6, 3).

2

(a)

Find the equation of the parabola that satisfies the given conditions:
Focus (6, 0); directrix x = -6.

2

(a)

Find the equation of the parabola that satisfies the given conditions:
Focus (0, -3); directrix y = 3

2

(a)

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
y²=16x

2

(a)

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum.
x²=6y

2

(a)

Find the equation of the ellipse that satisfies the given conditions:
foci (0, ±4); e=\(\frac { 4 }{ 5 } \).

2

(a)