# If the lines x2 + 2xy – 35y2 - 4x + 44y -12=0 and 5x +λy -8 = 0 are concurrent, then the value of λ is

1.  0

2.  1

3.  -1

4.  2

4

2

Explanation :
No Explanation available for this question

# The ratio in which ys-plane divides the line segment joining (-3, 4, - 2) and (2,1, 3)  is

1.  -4 :1

2.  3 :2

3.  -2 :3

4.  1: 4

4

3 :2

Explanation :
No Explanation available for this question

# The cosine of the angle A of the triangle with vertices A(l, -1, 2), B(6,11, 2),C(1, 2, 6)is

1.  63/65

2.  36/65

3.  16/65

4.  13/64

4

36/65

Explanation :
No Explanation available for this question

# The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x = 0 and y = 0 is

1.  x2 + y2 -6x + 6y +9 =0

2.  x2 + y2 -6x - 6y +9 =0

3.  x2 + y2+ 6x - 6y +9 =0

4.  x2 + y2+ 6x + 6y +9 =0

4

x<sup>2</sup> + y<sup>2</sup> -6x + 6y +9 =0

Explanation :
No Explanation available for this question

# The inverse point of (1, 2) with respect to the circle x2 + y2 - 4x - 6y +9 = 0 is

1.  (0,0)

2.  (1,0)

3.  (0,1)

4.  (1,1)

4

(0,1)

Explanation :
No Explanation available for this question

# The condition for the coaxial system x2 + y2+ 2λx+ c = 0, where λ is a parameter and c is a constant, to have distinct limiting points, is

1.  c = 0

2.  c < 0

3.  c = -1

4.  c > 0

4

c &gt; 0

Explanation :
No Explanation available for this question

# For the parabola y2 +6y-2x+5 = 0(I) The vertex is (-2 , -3)(II) The directrix is y+3 = 0

1.  Both I and II are true

2.  I is true, II is false

3.  I is false, II is true

4.  Both I and II are false

4

Both I and II are false

Explanation :
No Explanation available for this question

# The value of k. if (1, 2), (k, - 1) are conjugate points with respect to the ellipse 2x2+ 3y2 = 6 is

1.  2

2.  4

3.  6

4.  8

4

6

Explanation :
No Explanation available for this question

# If the line lx+my = 1 is a normal to the hyperbola (x2 /a2 ) - (y2 / b2)  =1 then (a2/l2

1.  a2 - b2

2.  a2 + b2

3.  (a2 + b2 )2

4.  (a2 - b2 )2

4

(a<sup>2</sup> + b<sup>2</sup> )<sup>2</sup>

Explanation :
No Explanation available for this question

1.  11√3 / 4

2.  5√3 /4

3.  5/4

4.  11/4

4