The number of reflective relations one set containing n elements is __________

(a)

2¹²

(b)

2⁴

(c)

2¹⁶

(d)

2⁸

For the below figure of ax² + bx + c = 0

(a)

a < 0, D > 0

(b)

a > 0, D > 0

(c)

a < 0, D < 0

(d)

a > 0, D = 0

Among the players 5 are bowlers. In how many ways a team of 11 may be formed with atleast 4 bowlers?

(a)

265

(b)

263

(c)

264

(d)

275

The Co-efficient of x³ in \(\sqrt { \frac { 1-x }{ 1+x } } ,\left| x \right| <1\ is\ \)______________

(a)

\(\frac { 1 }{ 2 } \)

(b)

\(\frac { 3 }{ 8 } \)

(c)

\(\frac { -3 }{ 8 } \)

(d)

\(\frac {- 1 }{ 2 } \)

\(\frac{1}{q+r},\frac{1}{r+p},\frac{1}{p+q}\) are in A.P., then ______________

(a)

p,q,r are inA.P

(b)

p²,q²,r² are inA.P

(c)

\(\frac{1}{p},\frac{1}{q},\frac{1}{r}\)

(d)

p,q,r are in H.P.

The first and last term of an A. P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be ______________

(a)

5

(b)

6

(c)

7

(d)

8

The equation of the straight line upon which the length of perpendicular from the origin is p and this normal makes an angle \(\theta\)  with the positive direction of x-axis is ______________

(a)

x sin\(\theta\) + y cot\(\theta\) = p

(b)

x sin \(\theta\) + y cos \(\theta\) = p

(c)

x sin \(\theta\) + y tan \(\theta\) cos \(\theta\) = p

(d)

x cos \(\theta\) + y sin \(\theta\) = p

The equation of the bisectors of the angle between the lines represented by 3x²- 5xy + 4y² = 0 is ______________

(a)

3x²- 5xy - 3y² = 0

(b)

3x²+ 5xy + 4y² = 0

(c)

5x²- 2xy - 5y² = 0

(d)

5x²- 2xy + 5y² = 0

If one of the lines by 6x²- xy + 4cy² = 0 is 3x + 4y = 0, then c = ______________

(a)

1

(b)

-1

(c)

3

(d)

-3

Choose the incorrect statement

(a)

log 1 to any base is zero

(b)

\(\frac{d}{dx}\) (e^x)=e^x

(c)

Inverse function of log x is \(\frac{1}{x}\)

(d)

|x| is not differentiable at x =0