For the equation `|x^2|+|x|-6=0` , the sum of the real roots is (a) `1` (b) `0` (c) `2` (d) none of these

If one root of the equation 2x^2+k x-6=0 is 2, then the other root is (a) 6 (b) -6 (c) -1 (d) 1

The number of real roots xcosx=1 in [0,2pi] (A) 1 (B) 2 (C) 3 (D) none of these

The number of real roots xcosx=1 in [0,2pi] (A) 1 (B) 2 (C) 3 (D) none of these

If x=1+i is a root of the equation =x^3-i x+1-i=0, then the other real root is 0 b. 1 c. -1 d. none of these

If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0 and 0 0 and k > (4c-b^2)/4 d. none of these

If the equation a x^2+2x+a=0 has two distinct roots, if (a) a=+-1 (b) a=0 (c) a=0,\ 1 (d) a=-1,\ 0

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these

The number of real solutions of the (log)_(0. 5)(x)=|x| is (a) 1 (b) 2 (c) 0 (d) none of these

If a and c are the lengths of segments of any focal chord of the parabola y^2=2b x ,(b >0), then the roots of the equation a x^2+b x+c=0 are (a) real and distinct (b) real and equal (c) imaginary (d) none of these