EduGoog

Find the values of k ε R subject to the following condition :
The ratio of the rots of $x^2 + 3kx + 20 = 0$ is 4 : 5.

Option :
A. ± 3
B. - 3
C. + 3
D. - 1

If $x^2 - 6x + α = 0 has two roots α, β and 3α + 2β = 20, then find a.

Option :
A. - 16
B. 8
C. 4
D. - 2

If the roots of the equations $x^2 + 3kx + 2 = 0$ are in the ratio of 1 : 2, then find the value of k.

Option :
A. 1
B. ± 1
C. 0
D. - 2

If the difference of the roots of the equation $x^2 - 2kx + 3k = 0$ is 4, then find the value of k.

Option :
A. - 1, 2
B. 4, - 1
C. 1, 3
D. - 4, 0

The quadratic equation whose roots are twice the roots of $2x^2 - 5x + 2 = 0$ is :

Option :
A. $8x^2 - 10x + 2 = 0$
B. $x^2 - 5x + 4 = 0$
C. $2x^2 - 5x + 2 = 0$
D. None