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The points on the ellipse (x^(2))/(2)+(y^(2))/(10)=1 from which perpendicular tangents can be drawn to the hyperbola (x^(2))/(5)-(y^(2))/(1) =1 is/are |
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Answer» `(sqrt((3)/(2)),sqrt((5)/(2)))` `rArr (sqrt(2)cos theta)^(2) + (sqrt(10)sin theta)^(2) =4` Solving, we GET `sin theta = +- (1)/(2), cos theta = +-(sqrt(3))/(2)` `:.` Points are `(+-sqrt((3)/(2)),+-sqrt((5)/(2)))` |
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