# A line segment AM = a moves in the XOY plane such that AM is parallel to the X-axis. If A moves along the circle x2 + y2 = a2 , then the locus of M is

1.  x2 + y2 = 4a2

2.  x2 + y2 = 2ax

3.  x2 + y2 = 2ay

4.  x2 + y2 = 2ax + 2ay

4

x<sup>2</sup> + y<sup>2</sup> = 2ax

Explanation :
No Explanation available for this question

# If the lines 3x + 4y - 14 = 0 and 6x + 8y + 7 = 0 are both tangents to a circle, then its radius is

1.  7

2.  7/2

3.  7/4

4.  7/6

4

7/4

Explanation :
No Explanation available for this question

# If the circle x2 + y2 + 8x - 4y + c = 0 touches the circle x2 + y2 + 2x + 4y -11 = 0 externally and cuts the circle x2

1.  59

2.  -59

3.  19

4.  -19

4

-59

Explanation :
No Explanation available for this question

# The point of contact of the circles x2 + y2 + 2x + 2y + 1 =0 and x2 + y2 - 2x + 2y + 1 = 0 is

1.  (0 , 1)

2.  (0 , -1)

3.  (1, 0)

4.  (-1 , 0)

4

(0 , -1)

Explanation :
No Explanation available for this question

# If a chord of the parabola y2 = 4x passes through its focus and makes an angle θ with the X-axis, then its length is

1.  4 cos2  θ

2.  4 sin2  θ

3.  4 cosec2  θ

4.  4 sec2  θ

4

4 cosec<sup>2</sup>&nbsp; &#952;

Explanation :
No Explanation available for this question

# If the straight line y =mx + c is parallel to the axis of the parabola y2 = lx  and intersects the parabola at  then the length of the latus rectum is

1.  2

2.  3

3.  4

4.  8

4

8

Explanation :
No Explanation available for this question

# The angle between the asymptotes of the hyperbola x 2 - 3y 2  = 3 is

1.  π / 6

2.  π / 4

3.  π / 3

4.  π / 2

4

&#960; / 3

Explanation :
No Explanation available for this question

# The eccentricity of the ellipse x2 + 4y2 + 2x + 16y + 13 = 0 is

1.  1 / 2

2.  1 /√3

3.  1/ √2

4.  √3/2

4

√3/2

Explanation :
No Explanation available for this question

# The polar equation of the line perpendicular to the line sin θ- cos θ

1.  sin θ + cos θ =(√3 +1 )/r

2.  sin θ - cos θ =(√3 +1 )/r

3.  sin θ + cos θ =(√3 -1 )/r

4.  cos θ - sin θ =√3 /r

4

sin θ + cos θ =(√3 +1 )/r

Explanation :
No Explanation available for this question

1.  2 : 1

2.  4 : 3

3.  -1 : 4

4.  2 : 3

4