Processing math: 4%




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6.

If P=  [1α3133244]   is the adjoint of a 3x 3  matrix A and |A| =4,  then α is equal  to


A) 4

B) 11

C) 5

D) 0



7.

ABCD is a trapezium such that AB and CD are parallel and   BC\perp CD . If \angle ADB=\theta , BC=p and CD= q , then AB is equal to   


A) \frac{(p^{2}+q^{2})\sin\theta}{p\cos\theta+q\sin\theta}

B) \frac{p^{2}+q^{2}\cos\theta}{p\cos\theta+q\sin\theta}

C) \frac{p^{2}+q^{2}}{p^{2}\cos\theta+q^{2}\sin\theta}

D) \frac{(p^{2}+q^{2})\sin\theta}{(p^{}\cos\theta+q^{}\sin\theta)^{2}}



8.

If z is a  complex number of unit modulus and argument \theta , the  arg\left[\frac{1+z}{1+\overline{z}}\right]  is equal to


A) -\theta

B) \frac{\pi}{2}-\theta

C) \theta

D) \pi-\theta



9.

Let Tn be the number of all possible triangles formed by joining vertices of an n -sided regular polygon. If Tn+1-Tn=10, then the value of n is


A) 7

B) 5

C) 10

D) 8



10.

The area (in square units) bounded by the curves     y= \sqrt{x}, 2y-x+3=0, x-axis and lying in the first quadrant is 


A) 9

B) 36

C) 18

D) 27/4



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