# The parabola with directrix x + 2y - 1 = 0 and focus (1, 0) is

1.  4x2 - 4xy + y2 - 8x + 4y + 4 = 0

2.  4x2 - 4xy + y2 - 8x + 4y + 4 = 0

3.  4x2 + 5xy + y2 + 8x + 4y + 4 = 0

4.  4x2 - 4xy + y2 - 8x - 4y + 4 = 0

4

4x<sup>2</sup> - 4xy + y<sup>2</sup> - 8x + 4y + 4 = 0

Explanation :
No Explanation available for this question

# The line among the following which touches the parabola y2=4ax, is

1.  x + my + am3 = 0

2.  x-my +am2 = 0

3.  x + my - am2 = 0

4.  y + mx + am2 = 0

4

x + my - am<sup>2</sup> = 0

Explanation :
No Explanation available for this question

# The Cartesian form of the polar equation θ = tan -1 2

1.  x=2y

2.  y=2x`

3.  x=4y

4.  y=4x

4

y=2x`

Explanation :
No Explanation available for this question

# For any integer n ≥ 1, the number of positive divisors of n is denoted by d(n). Then for   a prime P, d(d(d(P7}}) =

1.  1

2.  2

3.  3

4.  P

4

3

Explanation :
No Explanation available for this question

# Which of the following equations gives a circle

1.  r = 2 sinθ

2.  r2 cos2θ = 1

3.  r(4 cosθ + 5 sinθ) = 3

4.  5 = r (1 + √2  cosθ)

4

r = 2 sin&#952;

Explanation :
No Explanation available for this question

1.  1

2.  0

3.  does not exist

4.  infinity

4

0

Explanation :
No Explanation available for this question

1.  0

2.  -1

3.  1

4.  - 1/2

4

-1

Explanation :
No Explanation available for this question

1.  R

2.  R - {-2}

3.  R - {-1}

4.  R -{-1, -2}

4

R - {-1}

Explanation :
No Explanation available for this question

# If f(x) = 10 cos x +(13+2x) sin x then f"(x) + f(x) is equal to

1.  cos x

2.  4cos x

3.  sin x

4.  4 sin x

4

4cos x<br>

Explanation :
No Explanation available for this question

1.  1/(1+x)2

2.  -[1/(1+x)2]

3.  1/1+x2

4.  1/1-x2

4