The real value of a for which the value of `m` satisfying the equation `(a^2-1)m^2-(2a-3)m+a=0` given the slope of a line parallel to the y-axis is (a)`3/2` (b) 0 (c) 1 (d) `+-1`

Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 has real roots.

The integral value of m for which the root of the equation m x^2+(2m-1)x+(m-2)=0 are rational are given by the expression [where n is integer] (A) n^2 (B) n(n+2) (C) n(n+1) (D) none of these

The number of integral values of m for which the equation (1+m^(2))x^(2)-2(1+3m)x+(1+8m)=0, has no real roots is

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a)2 (b) 0 (c) 4 (d) 1

Number of real values of x satisfying the equation log_2(x^2-x)*log_2((x-1)/x)+(log_2x)^2=4 ,is (a) 0 (b) 2 (c) 3 (d) 7

Find the value of a, b, c, d from the equation ((a-b,2a+c),(2a-b,3c+d))=((1,5),(0,2))

The set of real values of k for which the lines x + 3y +1=0, kx + 2y-2=0 and 2x-y + 3 = 0 form a triangle is

If m is the slope of a tangent to the curve e^y=1+x^2, then |m|>1 (b) m >1 m >-1 (d) |m|lt=1