QJEEM20Ma1fad: JEE Main 2020 Mathematics - Class 11 JEEM20Ma1fad Solution: If the co-ordinates of two points A and B are and respectively…

Question

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If the co-ordinates of two points A and B
are

\left( {\sqrt 7 ,0} \right)

and

\left( { - \sqrt 7 ,0} \right)

respectively and
P is any point on the conic, 9x² + 16y² = 144, then PA + PB is equal to :

Accepted Answer

9x² + 16y² = 144

\Rightarrow

{{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1

\therefore

a = 4; b = 3;

Now e =

\sqrt {1 - {9 \over {16}}} = {{\sqrt 7 } \over 4}

A and B are foci

PA + PB = 2a = 2 × 4 = 8

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