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Jee Main 2025Medium JEE math MCQ

If $A$ and $B$ are the points of intersection of the circle $x^2 + y^2 - 8x = 0$ and the hyperbola $\frac{x^2}{y^2} - \frac{y^2}{x^2} = 1$ and a point $P$ moves on the line $2x - 3y + 4 = 0$, then the centroid of $\triangle PAB$ lies on the line
  1. A. $x + 9y = 36$
  2. B. $4x - 9y = 12$
  3. C. $6x - 9y = 20$
  4. D. $9x - 9y = 32$

Solution

The correct option is **C**. (C. $6x - 9y = 20$)

MATH

mediumPYQ Reworded
Question
Read carefully, then pick the best option.
If AA and BB are the points of intersection of the circle x2+y28x=0x^2 + y^2 - 8x = 0 and the hyperbola x2y2y2x2=1\frac{x^2}{y^2} - \frac{y^2}{x^2} = 1 and a point PP moves on the line 2x3y+4=02x - 3y + 4 = 0, then the centroid of PAB\triangle PAB lies on the line
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep