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Application of Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Integrals1 Mark
MCQ
The area included between the parabolas $y^2=4 x$ and $x^2=4 y$ is :
  • A
    $\frac{8}{3}\text{ sq}\text{ unit}$
  • B
    $8\text{ sq}\text{ unit}$
  • ✓
    $\frac{16}{3}\text{ sq}\text{ unit}$
  • D
    $12\text{ sq}\text{ unit}$
✓

Answer

Correct option: C.
$\frac{16}{3}\text{ sq}\text{ unit}$
We know that, the area of region bounded by the parabolas $y^2=4 x$ and $x^2=4 y$ is :
$=\frac{16}{3}\text{ab}\text{ sq.}\text{ unit.}$
Therefore, $y^2=4 x$ and $x^2=4 y$ is :
$=\frac{16}{3}\text{ sq.}\text{ unit.}$
$(\because\text{a}=1,\text{b}=1)$

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