All the values of `' a '` for which the quadratic expression `a x^2+(a-2)x-2` is negative for exactly two integral values of `x` may lie in `[1,3/2]` (b) `[3/2,2)` `[1,2)` (d) `[-1,2)`

The set of values of a for which a x^2+(a-2)x-2 is negative for exactly two integral x , is a. (0,2) b. [1,2) c. (1,2] d. (0,2]

The value of a for which one root of the quadratic equation (a^(2)-5a+3) x^(2)+(3a-1)x+2=0 is twice as large as the other is

The number of integral values of m for which the quadratic expression (1 + 2m)x^(2) - 2(1 + 3m)x + 4(1 + m), x in R , is always positive is

Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)] is singular.

Number of integral values of a such that the quadratic equation x^(2)+a x+a+1=0 has integral roots is

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

The number of integral values of a for which the quadratic equation (x+a)(x+1991)+1=0 has integral roots are a. 3 b. 0 c. 1 d. 2

The value of a for which all extremum of function f(x)=x^(3)+3ax^(2)+3(a^(2)-1)x+1 , lie in the interval (-2, 4) is

If he expression [m x-1+(1//x)] is non-negative for all positive real x , then the minimum value of m must be -1//2 b. 0 c. 1//4 d. 1//2

All the value of k for which the quadratic polynomial f(x)=-2x^2+k x+k^2+5 has two distinct zeroes and only one of them satisfying 0 < x < 2 ,lie in the interval (a ,b) The value of (a+10 b) is