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Pair of Lines Passing Though Origin

If A1 and ...

Question

If $A_{1}$ and $A_{2}$ respectively represents the area bounded by the curves $f (x, y)$ $4 x^{2} \leq y \leq 3 x$ and $g$ (x,y) $4 x^{2} \leq y \leq | 3 x |$ then $A_{1}$ : $A_{2}$ equals:

A

2:1

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B

3:1

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C

1:2

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D

1:3

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Solution

The correct option is B 1:2
$\frac{A_{1}}{A_{2}} = 1 / 2$
$A_{2} = 2 A$ , Since it is symmetrical with Y-axis

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| A_{1} |, | A_{2} |,

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Pair of Lines Passing Though Origin

Standard XII Mathematics