Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 minPYQ_2024

MathematicsMediumsingle choice

If $a, c, b$ are in GP, then the area of the triangle formed by the lines $a x + b y + c = 0$ with the coordinates axes is equal to

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Answer:

Solution:

Given $a, c, b$ are in GP $\Rightarrow c^{2} = ab$ ...(i) According to question, $∴ Area of △ O A B = = \frac{1}{2} \times O A \times OB \frac{1}{2} \times (\frac{- c}{b}) \times (\frac{- c}{a}) = \frac{1}{2} \times \frac{c ^{2}}{ab} = \frac{1}{2} [b y Eq . (i)]$

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

⏱ 2mℹ️ Source: PYQ_2024

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