CircleHard

Question

Tangents are drawn from origin O, to the circle x2 + y2 + 6x - 10y + λ = 0 to touch the circle at points A and B. If C is the centre of circle and area of quadrilateral OACB is 8 sq. unit, then sum of all possible values of λ is -

Options

A.2
B.4
C.32
D.34

Solution

       
r =
ar.(OACB) = 2.ar.(ᐃOAC)
= 2..OA.AC
8 =
⇒ c2 - 34c + 64 = 0
⇒ c = 2, 32

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