If the line y=-7/2 is the directrix of the parabola x^2-ky+8=0, then the sum of all the possible values of k is equal to

Question

MARKS Content Team · Accepted Answer

Correct answer: 14. Given equation of the parabola is x^2-ky+8=0⇒x^2=ky-8/k ⇒ Directrix is y=8/k-k/4 ⇒y=-7/2 is same as y=8/k-k/4 ⇒(32-k^2)/4k=-7/2⇒-k^2+14k+32=0 ⇒k_1+k_2=14 (sum of possible values of k)

If the line $y = - \frac{7}{2}$ is the directrix of the parabola $x^{2} - k y + 8 = 0$ , then the sum of all the possible values of $k$ is equal to

Solution

More Parabola Questions

If the line y=-72 is the directrix of the parabola x2-ky+8=0, then the sum of all the possible values of k is equal to

Solution

More Parabola Questions

If the line $y = - \frac{7}{2}$ is the directrix of the parabola $x^{2} - k y + 8 = 0$ , then the sum of all the possible values of $k$ is equal to