#### Analytical Geometry One Mark Question

11th Standard

Reg.No. :
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Time : 00:30:00 Hrs
Total Marks : 10
10 x 1 = 10
1. If m1 and m2 are the slopes of the pair of lines given by ax2+ 2hxy + by2 = 0, then the value of m1 + m2 is

(a)

2h/b

(b)

-2h/b

(c)

2h/a

(d)

-2h/a

2. The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

(a)

$tan^{-1}\left(1\over 3\right)$

(b)

$tan^{-1}\left(1\over 2\right)$

(c)

$tan^{-1}\left(\sqrt{33}\over 5\right)$

(d)

$tan^{-1}\left(5\over\sqrt{33}\right)$

3. If the lines 2x - 3y - 5 = 0 and 3x - 4y - 7 = 0 are the diameters of a circle, then its centre is

(a)

(-1, 1)

(b)

(1,1)

(c)

(1, -1 )

(d)

(-1, -1)

4. The x - intercept of the straight line 3x + 2y - 1 = 0 is

(a)

3

(b)

2

(c)

1/3

(d)

1/2

5. The slope of the line 7x + 5y - 8 = 0 is

(a)

7/5

(b)

-7/5

(c)

5/7

(d)

-9/7

6. The locus of the point P which moves such that P is at equidistance from their coordinate axes is

(a)

$y={1\over x}$

(b)

y=-x

(c)

y=x

(d)

$y=-{1\over x}$

7. The locus of the point P which moves such that P is always at equidistance from the line x + 2y+ 7 = 0 is

(a)

x+2y+2=0

(b)

x - 2y + 1 = 0

(c)

2x - y + 2 = 0

(d)

3x + y + 1=0

8. If kx2 + 3xy - 2y2 = 0 represent a pair of lines which are perpendicular then k is equal to

(a)

1/2

(b)

-1/2

(c)

2

(d)

-2

9. (1, - 2) is the centre of the circle x2 + y2 + ax + by - 4 = 0 , then its radius

(a)

3

(b)

2

(c)

4

(d)

1

10. The length of the tangent from (4,5) to the  circle x2 +y2 = 16 is

(a)

4

(b)

5

(c)

16

(d)

25