The value of a for which the eqution `4cosec^2(pi(a+x))+a^2-4a=0` has a equal solution, is` (A) a=1` (B) `a=2` (C) `a=3` (D) none of these

The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 has a real solution is

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The value of c for which the equation a x^2+2b x+c=0 has equal roots is (a) (b^2)/a (b) (b^2)/(4a) (c) (a^2)/b (d) (a^2)/(4b)

The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=0 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has at least one solution in the interval (0,pi/2) (a) 9 (b) 4 (c) 8 (d) 1

int_0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) pi (D) none of these"

All the value of k for which the quadratic polynomial f(x)=2x^2+k x+2=0 has equal roots is ________. (a) 4 (B) +4,-4 (c) +3,-3 (d) 2

The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has at least one solution AAx in [0,pi//4] a) a in (2,3) b. a in [2,3] c. a in (1,4) d. a in [1,4]

The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has at least one solution AAx in [0,pi//4] a in (2,3) b. a in [2,3] c. a in (1,4) d. a in [1,4]

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these