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If the line jjoining the point A (b cos ...

If the line jjoining the point `A (b cos alpha,b sin alpha)` and `B (a cosbeta,asin beta)` is extended to the point `N(x,y)` such that AN : NB `=b: a,`then

A

Option1 `" xcos"(alpha-beta)/(2)+ " y sin" (alpha+beta)/(2)=0`

B

Option2 `" xcos"(alpha-beta)/(2)+ " y sin" (alpha-beta)/(2)=0`

C

Option3 `" xcos" (alpha-beta)/(2)+ " ysin"(alpha+beta)/(2)=0`

D

Option4 `" xcos" (alpha+beta)/(2)+ " ysin"(alpha+beta)/(2)=0`

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The correct Answer is:
C
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