# If 2x + 3y + 12 = 0 and x - y + 4λ = 0 are conjugate with respect to the parabola y2 = 8x, then λ is equal to

1.  2

2.  -2

3.  3

4.  -3

4

-3

Explanation :
No Explanation available for this question

# For an ellipse with eccentricity 1/2 the centre is at the origin. If one directrix is x = 4, then the equation of the ellipse is

1.  3x2 + 4y2 = 12

2.  3x2 + 4y2 = 1

3.  4x2 + 3y2 = 1

4.  4x2 + 3y2 = 12

4

3x2 + 4y2 = 12

Explanation :
No Explanation available for this question

# The distance between the foci of the hyperbola x2- 3y2- 4x - 6y - 11 = 0 is

1.  4

2.  6

3.  8

4.  10

4

8

Explanation :
No Explanation available for this question

# The radius of the circle with the polar equation r2-8r(√3cosθ+sinθ)+ 15 = 0 is

1.  8

2.  7

3.  6

4.  5

4

7

Explanation :
No Explanation available for this question

1.  -1

2.  1

3.  0

4.  2

4

-1

Explanation :
No Explanation available for this question

1.  -1

2.  -2

3.  1

4.  0

4

0

Explanation :
No Explanation available for this question

# If f: R→R is defined byand f is continuous at x=0, then λ=

1.  -2

2.  -4

3.  -6

4.  -8

4

-4

Explanation :
No Explanation available for this question

# If f (2) = 4, f (2) = 1, then =

1.  -2

2.  1

3.  2

4.  3

4

2

Explanation :
No Explanation available for this question

# If x= a {cos θ + log tan (θ/2)} and y = a sin θ then dy/dx=

1.  cot θ

2.  tan θ

3.  sin θ

4.  cos θ

4

tan θ

Explanation :
No Explanation available for this question

1.  sin (logex)

2.  cos (logex)

3.  y2

4.  - y

4