The centroid of a triangle formed by $(7, p), (q, - 6), (9, 10)$ is $(6, 3)$ then find $(p, q)$

(5, 2)

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(3, 2)

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(6, 2)

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None of these

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Solution

The correct option is A $(5, 2)$
Centroid is $(6, 3)$
$\Rightarrow 6 = \frac{7 + q + 9}{3}$
$3 = \frac{p - 6 + 10}{3}$
$\Rightarrow 9 + q = 9$
$q = 2$
$p + 4 = 9$
$p = 5$
$∴ (p, q) = (5, 2)$

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The centroid of a triangle formed by (7,p),(q,−6),(9,10) is (6,3) then find (p,q)

The correct option is A (5,2)Centroid is (6,3)⇒6=7+q+933=p−6+103⇒9+q=9q=2p+4=9p=5∴(p,q)=(5,2)

The centroid of a triangle formed by $(7, p), (q, - 6), (9, 10)$ is $(6, 3)$ then find $(p, q)$

The correct option is A $(5, 2)$
Centroid is $(6, 3)$
$\Rightarrow 6 = \frac{7 + q + 9}{3}$
$3 = \frac{p - 6 + 10}{3}$
$\Rightarrow 9 + q = 9$
$q = 2$
$p + 4 = 9$
$p = 5$
$∴ (p, q) = (5, 2)$