Tangent L₁ 3 x-4 y-8=0 and the chord L₂ x+y-1=0 are at a distance of 2 and 2 units respectively from the centre of a circle S. (h, k) is the centre of S such that h^2+ k ^2=13 . If the midpoint of the chord L ₂=0 is ( , ) and the radius of

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Tangent L₁ 3 x-4 y-8=0 and the chord L₂ x+y-1=0 are at a distance of 2 and 2 units respectively from the centre of a circle S. (h, k) is the centre of S such that h^2+ k ^2=13 . If the midpoint of the chord L ₂=0 is ( , ) and the radius of the circle is r , then + + r =

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Correct answer: D. 3

Radius of circle =2=r ( , ) passes through L ₂ . aligned & + -1=0 + =1 & Now + +r=2+1=3 aligned

Tangent L₁ 3 x-4 y-8=0 and the chord L₂ x+y-1=0 are at a distance of 2 and 2 units respectively from the centre of a circle S. (h, k) is the centre of S such that h^2+ k ^2=13 . If the midpoint of the chord L ₂=0 is ( , ) and the radius of the circle is r , then + + r =

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