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A line segment A B of length ' a ' moves...

A line segment `A B` of length ' `a` ' moves with its ends on the axes. The Iocus of the point `P` which divides the line in the ratio 1: 2 is

A

`9 x^(2)+4 y^(2)=a^(2)`

B

`9(y^(2)+4 x^(2))=-4 a^(2)`

C

`9(x^(2)+4 y^(2))=4 a^(2)`

D

`9 x^(2)+9 y^(2)=4 a^(2)`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
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