Question
The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse x2a2+y2b2=1 forms a triangle of constant area with the coordinate axes, is
Answer: Option B
:
B
The chord of contact of tangents from (x1y1)isxx1a2+yy1b2=1
It meets the axes at the points (a2x,0) and (0,b2y1)
Area of the triangle is 12.a2x1.b2y1 [constant]
⇒ x1y1=a2b22k=c2 where c is a constant.
⇒ xy=c2 is the required locus.
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:
B
The chord of contact of tangents from (x1y1)isxx1a2+yy1b2=1
It meets the axes at the points (a2x,0) and (0,b2y1)
Area of the triangle is 12.a2x1.b2y1 [constant]
⇒ x1y1=a2b22k=c2 where c is a constant.
⇒ xy=c2 is the required locus.
Was this answer helpful ?
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