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Q.

If the length of the latus rectum of a parabola, whose focus is (a, a) and the tangent at its vertex is x + y = a, is 16, then |a| is equal to :

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a

42

b

22

c

23

d

4

answer is C.

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Detailed Solution

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 the length of the latus rectum of a parabola, =4(perpendicular distance from focus to the tangent at vertex

a+a-a2=164

 

|P|=a2=164=4|a|=42

Ans. (C)

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