If `a^(1/2)+b^(1/2)-c^(1/2)=0`, then the value of `(a+b-c)^2`is:
(A)   `2ab`   (B)   `2bc`   (C)   `4ab`   (D)   `4ac`

If int (1+xtanx)^(-2) dx=1/(x+f(x))+c; then value of f(x) is (1)   xtanx    (2)   cotx    (3)   tanx    (4)   tan^2x

The co-ordinates of two fixed points A and B of a triangle ABC are (a,0) and (-a,0) respectively. If variable point C moves such that cot A+ cot B=lamda , (where lamda is a constant) then the locus of point C is:- (1)    y lamda =2a     (2)    y =lamda a     (3)    y a=2lamda     (4)     None of these.

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

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

x=(sqrt(p^2+q^2)+sqrt(p^2-q^2))/(sqrt(p^2+q^2)-sqrt(p^2-q^2)) then q^2x^2-2p^2x+q^2=? (A)    3    (B)    -1    (C)    -2    (D)    0    

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 circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

If 2^33 is divided by 17 , then the remainder is (1)    15        (2)    2         (3)    4         (4)    9

Let vec a and vec b be unit vectors that are perpendicular to each other then [vec a+(vec a×vecb),vec b+(vec a×vec b), vec a × vec b] is equal to- (1)    1    (2)    0    (3)    -1    (4)    2