Let `P(x) = (x^2+2kx+3/4 - k).` If graph of `P(x)` does not intersect y-axis, then the range of `k` is

Let f(x)=(sqrt(log(x^(2)+kx+k+1)))/(x^(2)+k) If f(x) is continuous for all x in R then the range of k is

If the graph of equation 2x+ky=10k intersect x-axis at point (5,0). Find value of k .

If the graphs of x^(2) = 4(y+9) and x + ky = 6 intersect on the x-axis , then k =

If the circles x^(2) + y^(2) + 5 Kx + 2y + K = 0 and 2x^(2) + y^(2)) + 2Kx + 3y - 1 = 0, (K in R) intersect at the point P and Q then the line 4x + 5y - K = 0 passes P and Q for :

g(x) =x^4-kx^3+13x^2-12x+4 The function g is defined above, and k is a constant. In the xy- plane, the graph of g intersects the y - axis at (0, 4) and intersects the x - axis at (1, 0) and (2, 0) . What is the value of k?

How many times does the graph of y=x^(3)-3x^(2)-x+3 intersects the x - axis :

If (x - 2) is a factor of polynomial p(x) = x^(3) + 2x^(2) - kx + 10 , then the value of k is:

Let f(x)=|(x^(2),kx,4+kx),(kx,4+kx),x^(2)),(4+kx),x^(2),kx)| If f(x) is positive for all x in R, the find the number of integral values in the range of k.

The polynomials P(x) = kx^(3) + 3x^(2) - 3 and Q(x) = 2x^(3) - 5x + k , when divided by (x - 4) leave the same remainder. The value of k is

The p.m.f. of a.r.v. X is as follows: P( X=0) = 3k^ (3), P(X=1) = 4k-10k^ (2) , P(X=2)=5k-1, P(X=x)=0 for any other value of x, then value of k is