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The distance of a point, P,on the ellpise ` x^(2)+3y^(2)=6` lying in the firsrt quadrant, form the centre of the ellipse is 2 units. The eccerntric angle of the point P is-A. `(pi)/(3)`B. `(pi)/(4)`C. `(pi)/(6)`D. none of these |
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Answer» Correct Answer - B Let `p(sqrt(6costheta),sqrt(2sintheta) )` be a point on the ellips `(x^(2))/(6)+(y^(2))/(2)=1` in the first -quadrant `(thetaltthetalt(pi)/(2))` `CP^(2)=6cos^(2)theta+2sin^(2)theta=4` `rArr 2+ 4 cos^(2)theta=4` `rArr cos^(2)theta=(1)/(2)` `rArr cos theta=(1)/(sqrt(2))` `rArr=(pi)/(4)` |
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