Let be two parabolas. If the area of the bounded region enclosed between is six times the area of the bounded region enclosed between the line and , then is equal to : [2026]

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Solution

Q.
Let $P_{1} : y = 4 x^{2} a n d 𝑃_{2} : 𝑦 = 𝑥^{2} + 27$ be two parabolas. If the area of the bounded region enclosed between $P_{1} a n d P_{2}$ is six times the area of the bounded region enclosed between the line $y = α x, α > 0$ and $P_{1}$ , then $α$ is equal to : [2026]

1 15

2 12

3 8

4 6

Ans.
(2)

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