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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2017

MathematicsEasysingle choice

The area of the region bounded by the lines $y = 2 x + 1, y = 3 x + 1$ and $x = 4$ is

Options:

Answer:

Solution:

A (shaded region) $= A (Δ A B D) - A (Δ A B C) = \frac{1}{2} [4 \times 12 - 4 \times 8] = \frac{1}{2} (48 - 32) = 8$ sq.units.
OR
$A = (Δ A C D) = \frac{1}{2} |\begin{matrix} 0 & 1 & 1 \\ 4 & 9 & 1 \\ 4 & 13 & 1 \end{matrix}|$
$= \frac{1}{2} \times 16 = 8$

Stream:MHT_CETSubject:MathematicsTopic:Area Under CurvesSubtopic:Area of Curve along axis

⏱ 2mℹ️ Source: PYQ_2017

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