Find the length of the chord of contact with respect to the point on
the director circle of circle `x^2+y^2+2a x-2b y+a^2-b^2=0`
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Text Solution
Verified by Experts
We have circle `S_(1)-=(x+a)^(2)+(y-b)^(2)=2b^(2)` Equation of dirctor circle `S_(2)-=(x+a)^(2)+(y-b)^(2)=4b^(2)`. Tangents PQ and PR are drawn to circle `S_(1)=0` from a point P on the director circle `S_(2)=0`. So, QR is the chord of contact. In the figure, PQCR is a square. `:. QR=CP=` Radius of director circle `=2b`
the equation to the director circle of (x^2)/6+(y^2)/4=1 is
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