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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2020

MathematicsEasysingle choice

The area of the triangle formed by the lines joining vertex of the parabola $x^{2} = 12 y$ to the extremities of its latus rectum is

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Solution:

(D) $x^{2} = 12 y \Rightarrow 4 b = 12 \Rightarrow b = 3$ Co-ordinates of latus return are $(\pm 2 b, b)$ $∴ L_{1} \equiv (6, 3)$ and $L_{2} \equiv (- 6, 3)$ Coordinates of focus $S \equiv (0, 3)$ $∴ A (Δ OL_{1} L_{2}) = \frac{1}{2} \times 12 \times 3 = 18$

Stream:MHT_CETSubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by two curves

⏱ 2mℹ️ Source: PYQ_2020

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