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Question

Question: If x+y+k = 0 is a tangent to the parabola x<sup>2</sup> = 4y, then k =...

If x+y+k = 0 is a tangent to the parabola x2 = 4y, then k =

A

1

B

2

C

-1

D

4

Answer

1

Explanation

Solution

If lx+my+n =0 is a tangent to the parabola x2 = 4ay, then al2 = mn.

If x+y+k is a tangent to the parabola x2 = 4y then 1.12 = 1.K ⇒ K = 1.