The curve $x=(y-2)^2$ and the line $y=x-10$ intersects at the points $M$ and $N$. Find the c

Question

The curve $x=(y-2)^2$ and the line $y=x-10$ intersects at the points $M$ and $N$. Find the coordinates of $M$ and $N$.[3] Find the area of shaded region $A$ and the area of the shaded region $B$.[6]

Accepted Answer

(a) $M=(9,-1),\ N=(16,6)$ (b) $A=57\frac16\text{ units}^2,\ B=49\frac12\text{ units}^2$

2025 JVSS PRELIMS P2 Q11

2025 JVSS PRELIMS P2 Q11

Solution:

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