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Question

PSP1 is focal chord of the ellipse 4x2+9y2=36. If SP=4 then SP1 is

A
23
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B
35
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C
43
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D
45
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Solution

The correct option is D 45
Equation of ellipse,
x29+y24=1
a=3,b=2.
As we know that,
semi latus rectum is the Harmonic mean of segments PS and SP1 of focal chord,
Mathematically,
b2a=2(SP)(SP)SP+SP1

223=2(4)(SP)4+SP1

16+4SP1=24SP1

SP1=45

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