The curve y = ( ∣ x ∣ − 1 ) sgn ( x − 1 ) divides 64 9 x 2 + 25 4 y 2 = π 1 in two parts having area A 1 and A 2 (where A 1 < A 2 ), then

A 1 = 3 10 − 1 , A 2 = 3 10 + 1 ⇒ A 2 A 1 = 13 7

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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 min

MathematicsMediumsingle choice

The curve $y = (∣ x ∣ - 1) sgn (x - 1)$ divides $\frac{9 x ^{2}}{64} + \frac{4}{25} y^{2} = \frac{1}{π}$ in two parts having area $A_{1}$ and $A_{2}$ (where $A_{1} < A_{2}$ ), then

Options:

Answer:

Solution:

$A_{1} = \frac{10}{3} - 1, A_{2} = \frac{10}{3} + 1 \Rightarrow \frac{A _{1}}{A _{2}} = \frac{7}{13}$

Stream:JEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by Miscellaneous Curves

⏱ 2m

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