Question

The circle ${S_1}$ with centre ${C_1}\left( {{a_1},{b_1}} \right)$ and radius ${r_1}$ touches externally the circle ${S_2}$ with centre ${C_2}\left( {{a_2},{b_2}} \right)$ and radius ${r_2}$. If the tangent at their common point passes through the origin, then

Accepted Answer

$\left( {a_1^2 - a_2^2} \right) + \left( {b_1^2 - b_2^2} \right) = r_1^2 - r_2^2$

Answer

$\left( {a_1^2 + a_2^2} \right) + \left( {b_1^2 + b_2^2} \right) = r_1^2 + r_2^2$

Answer

$\left( {a_1^2 - b_2^2} \right) + \left( {a_2^2 + b_2^2} \right) = r_1^2 + r_2^2$

Answer

$\left( {a_1^2 - b_1^2} \right) + \left( {a_2^2 + b_2^2} \right) = r_1^2 + r_2^2$

JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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