#### Two Dimensional Analytical Geometry-II One Mark Question

12th Standard EM

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Maths

Time : 00:30:00 Hrs
Total Marks : 10
6 x 1 = 6
1. The equation of the circle passing through(1,5) and (4,1) and touching y -axis is x2+y2−5x−6y+9+(4x+3y−19)=0 whereλ is equal to

(a)

$0,-\frac { 40 }{ 9 }$

(b)

0

(c)

$\frac { 40 }{ 9 }$

(d)

$\frac { -40 }{ 9 }$

2. The radius of the circle3x2+by2+4bx−6by+b2 =0 is

(a)

1

(b)

3

(c)

$\sqrt {10}$

(d)

$\sqrt {11}$

3. The centre of the circle inscribed in a square formed by the lines x2−8x−12=0 and y2−14y+45 = 0 is

(a)

(4,7)

(b)

(7,4)

(c)

(9,4)

(d)

(4,9)

4. Equation of tangent at (-4, -4) on x2 = -4y is

(a)

2x - y + 4 = 0

(b)

2x + y - 4 = 0

(c)

2x - y - 12 = 0

(d)

2x + y + 4 = 0

5. y2 - 2x - 2y + 5 = 0 is a

(a)

circle

(b)

parabola

(c)

ellipse

(d)

hyperbola

6. The locus of the point of intersection of perpendicular tangents of the parabola y2 = 4ax is

(a)

latus rectum

(b)

directrix

(c)

tangent at the vertex

(d)

axis of the parabola

7. 4 x 1 = 4
8. Focus of (y + 1)2 = 8(x - 3)

9. (1)

8

10. Vertex of (y -1)2 = 8x

11. (2)

(a, 0)

12. LR of (y + 1)2 = 8(x - 3)

13. (3)

(0, 1)

14. LR of (x - 4)2 = 4(x + 2)

15. (4)

4