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Question: The value of P such that the vertex of y = x<sup>2</sup> + 2px + 13 is 4 unit above the x axis is –...

The value of P such that the vertex of y = x2 + 2px + 13 is 4

unit above the x axis is –

A

2

B

– 4

C

5

D

± 3

Answer

± 3

Explanation

Solution

Given y=x2+2px+13 vertex is at (– P,13–P2)=(–P,4)

̃ 13 – P2 = 4 ̃ P2 = 9 \ P = ± 3