Area of the region defined by ∥ x ∣ − ∣ y ∣∣ ≥ 1 and x 2 + y 2 ≤ 1 is

− 1 ≤ ∥ x ∣ − ∣ y ∣∣ ≤ 1 ∥ x ∣ − ∣ y ∣∣ ≤ 1 ∧ ∣∣ x ∣ − ∣ y ∣∣ ≥ − 1 Required area = π ( 1 ) 2 = π

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 minQB

MathematicsMediumsingle choice

Area of the region defined by $∥ x ∣ - ∣ y ∣∣ \geq 1$ and $x^{2} + y^{2} \leq 1$ is

Answer:

Solution:

$- 1 \leq ∥ x ∣ - ∣ y ∣∣ \leq 1$ $∥ x ∣ - ∣ y ∣∣ \leq 1 \land ∣∣ x ∣ - ∣ y ∣∣ \geq - 1$

Required area $= π (1)^{2} = π$

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

⏱ 2mℹ️ Source: QB

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