Search any question & find its solution
Question:
Answered & Verified by Expert
If $A \equiv(5,1, p), B \equiv(1, q, p)$ and $C \equiv(1,-2,3)$ are vertices of the triangle and $G \equiv\left(r,-\frac{4}{3}, \frac{1}{3}\right)$ is its centroid, then the values of $p, q, r$ are respectively
Options:
Solution:
2290 Upvotes
Verified Answer
The correct answer is:
$-1,-3, \frac{7}{3}$
$\begin{aligned} & \left(r, \frac{-4}{3}, \frac{1}{3}\right) \equiv\left(\frac{5+1+1}{3}, \frac{1+q-2}{3}, \frac{p+p+3}{3}\right) \\ & \Rightarrow r=\frac{7}{3}, \frac{-4}{3}=\frac{q-1}{3}, \frac{1}{3}=\frac{2 p+3}{3} \\ & \Rightarrow p=-1, q=-3, r=\frac{7}{3}\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.