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Question

The point of contact 8x9y+5=0 with the ellipse 4x2+9y2=1 is

A
(25,15)
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B
(25,15)
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C
(25,15)
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D
(25,15)
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Solution

The correct option is A (25,15)
4x2+9y2=1x214+y219=1

a2=14,b2=19

8x9y+5=0y=89x+59

m=89

c=a2m2+b2

=14(89)2+19

c=59

P(a2mc,b2c)

=148959,1959

P(25,15)

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