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Equation of a tangent to the ellipse passing through the point where a directrix of the ellipse meets the x-axis is
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Correct option is C
Equation of a tangent to the ellipse is y=mx+36m2+25 (1)Equation of the directrix is x=6×636−25=3611 which meets the +ve x axis at 3611,0The tangent ( 1) passes through this point if m36112=36m2+25⇒m2=1136⇒m=116.Since the tangent meets the directrix on positive a-axis m<0 and the required equation is y=−116x+36×1136+256y+11x=36Talk to our academic expert!
Similar Questions
Let P be any point on the directrix of an ellipse of eccentricity e. S be the corresponding focus and C the centre of the ellipse. The line PC meets the ellipse at A. the angle between PS and tangent at A is , then is not equal to
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