For what valu of k, y = 2x + 1 touches y`^2` = kx?

For what value of p,y = x + p touches the ellipse 2x ^2 + 3y ^2 = 1 ?

For what value of k,the lines 3x+2y-4=0 and kx-4y+5=0 are parallel?

For what value of k, the function f(x) = kx^3 +5 is decreasing?

For what value of c, the straight line 3x + y - c = 0 touches the circle x ^2 + y ^2 + 2x - 6y + 6 = 0 ?

For what value of k, the function f given by f(x) = {(2x+1,x 2):} is continuous.

For what value of k the equation 2x^2-2kx+k=0 will have real and equal roots.

For what value of p the system equations, px-y=2, 6x-2y=3 has only one solution?

For what value of k the following equations will have (a)two unequal roots, (b)no solution, (c)equal roots. kx^2 - 6kx + 2 = 0 .

For what value of p, the following system of linear equation has infintely many solution. 2x+3y=2, (p+2)x+(2p+1)y=2(p-1)

For what value of p, the following system of linear equation has infintely many solution. 2x+3y=7, (p+1)x+(2p-1)y=4p+1