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Let L_(1), L_(2) and L_(3) be the lengths of tangents drawn from a point P to circles x^(2)+y^(2)=4, x^(2)+y^(2)-4x=0 and x^(2)+y^(2)-4y=0 respectively. If L_(1)^(4)=L_(2)^(2)L_(3)^(2)+16 then the locus of P are the curves, C_(1) (a straight line) and C_(2) (a circle). Q.If S_(1), S_(2) and S_(3) are three circles congruent to C_(2) and touch both C_(1) and C_(2), then the area oftriangle formed by joining centresof the circlesS_(1), S_(2) and S_(3) is (in square units) |
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