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Q.

If G be the centroid and I be the incentre of the triangle with vertices A(–36, 7), B(20, 7) and C(0, –8) and $GI = \frac{25}{3} \sqrt{205} λ then λ =$

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a

1/5

b

25

c

1/25

d

5

answer is A.

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Detailed Solution

$G (\frac{- 16}{3}, 2), I = (- 1, 0), G I = \frac{\sqrt{205}}{3}$

$∴ \frac{\sqrt{205}}{3} = \frac{25}{3} \sqrt{205} λ \Rightarrow λ = \frac{1}{25}$

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If G be the centroid and I be the incentre of the triangle with vertices A(–36, 7), B(20, 7) and C(0, –8) and GI=253205λ then λ=