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The eccentric angle in the first quadrant of a point on the ellipse x^2/10 +y^2/8=1 at a distance of 3 units from the centre of the ellipse is

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Solution:

\ a=sqrt10;b=sqrt8

Let a point \ P(sqrt10cos	heta ,sqrt8sin	heta ) .its distance from (0,0) is 3.

\ Rightarrow 10cos^2	heta +8sin^2	heta =9\ \Rightarrow 2cos^2	heta =1\ \Rightarrow cos	heta =1/sqrt2\ \Rightarrow 	heta =pi /4

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Deependra Verma

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