QJEEM24Ma70a1: JEE Main 2024 Mathematics - Class 12 JEEM24Ma70a1 Solution: Let P Q R be a triangle with R ( − 1 , 4 , 2 ) . Suppose M ( 2…

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QJEEM24Ma70a1: JEE Main 2024 Mathematics - Class 12 JEEM24Ma70a1 Solution: Let P Q R be a triangle with R ( − 1 , 4 , 2 ) . Suppose M ( 2…

Let $P Q R$ be a triangle with $R (- 1, 4, 2)$ . Suppose $M (2, 1, 2)$ is the mid point of $PQ$ . The distance of the centroid of $△ PQR$ from the point of intersection of the lines $\frac{x - 2}{0} = \frac{y}{2} = \frac{z + 3}{- 1}$ and $\frac{x - 1}{1} = \frac{y + 3}{- 3} = \frac{z + 1}{1}$ is

Multiple Choice Options

A 69
B 99
C 69
D 9

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Accepted Answer

Centroid $G$ divides MR in $1 : 2$

$G (1, 2, 2)$

Point of intersection $A$ of given lines is $(2, - 6, 0)$

$AG = \sqrt{69}$

QJEEM24Ma70a1: JEE Main 2024 Mathematics - Class 12 JEEM24Ma70a1 Solution: Let P Q R be a triangle with R ( − 1 , 4 , 2 ) . Suppose M ( 2…

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