The expression `(C(10,0))^2-(C(10,1))^2+(C(10,0))^2+...-(C(10,9))^2+(C(10,10))^2`
(A)   `C(10,5)`(B)   `-C(10,5)`(C)   `(C(10,5))^2`(D)   `(10!)^2`

If alpha , beta gamma are the roots of the equation x^3+px^2+qx+r=0 , then (1-alpha^2)(1-beta^2)(1-gamma^2) is equal to (a)    (1+q)^2-(p-r)^2    (b)    (1+q)^2+(p+r)^2 (c)    (1-q)^2+(p-r)^2    (d)   none of these

If x=3-sqrt(5) , then sqrt(x)/(sqrt(2)+sqrt(3x-2))=_ A.     1/sqrt(5) B.     sqrt(5) C.     sqrt(3) D.     1/sqrt(3)

If abx^2=(a-b)^2(x+1) , then the value of 1+4/x+4/x^2 is: a.     (a+b)/(a-b) b.     (a+b)^2/(a-b)^2 c.     (a+b)/(a-b)^2 d.     1

The simplified form of [((a+1)^2/(a-1)^2+3)/((a-1)^2/(a+1)^2+3)]/((a^3+1)/(a^3-1)-(2a)/(a-1)] is: a.    a-1 b.    1-a c.    -1 d.   None of these

Sum of the series 1+2^2x+3^2x^2+4^2x^3+.....to oo , |x| (A)    (1+x)/(1-x)^3    (B)    (1-x)/(1+x)^3     (C)    (2+x)/(1-x)^3    (D)    (1-x)/(1+x)^2

Let y=1/(2+1/(3+1/(2+1/(3+.....)))) the value of y is: a.    +-(sqrt(15)-3)/2 b.    (sqrt(15)-3)/2 c.    (sqrt(15)+3)/2 d.    None of these

In an AP, S_p=q , S_q=p . Then S_(p+q) is equal to: a.     0 b.     -(p+q) c.     (p+q) d.     pq

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

If m and x are two real numbers where m in I, then e^(2micot^(-1)x)((x*i+1)/(x*i-1))^m (A)   cos x+i sin x   (B)   m/2   (C)   1    (D)   (m+1)/2

If the lines ax+y+1=0 , x+by+1=0 and x+y+c=0 , ( a , b , c being distinct and different from 1 ) are concurrent, then 1/(1-a)+1/(1-b)+1/(1-c)= (A)    0    (B)    1    (C)    1/(a+b+c)    (D)   None of these