The area ( in sq. units ) of the region A=\left \{ (x,y):\frac{y^{2}}{2}\leq x\leq y+4 \right \}  is :

  • Option 1)

    \frac{53}{3}

  • Option 2)

    30

  • Option 3)

    16

  • Option 4)

    18

 

Answers (1)
V Vakul

A=\left \{ (x,y):\frac{y^{2}}{2}\leq x\leq y+4 \right \}

required are

\\\int_{-2}^{4}\left ( y+4-\frac{y^{2}}{2} \right )dy\\\\\\\:=\frac{y^{2}}{2}+4y-\frac{y^{3}}{6}\:\:|^{4}_{-2}

 

=\left ( \frac{16}{2} +16-\frac{64}{6}\right )-\left ( \frac{4}{2}-8 +\frac{8}{6}\right )

=18

 


Option 1)

\frac{53}{3}

Option 2)

30

Option 3)

16

Option 4)

18

Preparation Products

Knockout JEE Main April 2021 (One Month)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 14000/- ₹ 6999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Test Series JEE Main April 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions