Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

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

  • Option 1)

    \frac{10}{3}

  • Option 2)

    \frac{9}{2}

  • Option 3)

     \frac{31}{6}

  • Option 4)

     \frac{13}{6}

 

Answers (1)

best_answer

Point of intersection of x^{2}=y and y=x+2

                                      \left ( -1,1 \right ) and \left ( 2,4 \right )

           y=x+2

                                         Required Area,

                              =\int_{-1}^{2}\left ( x+2-x^{2} \right )dx

                             =\left [ \frac{x^{2}}{2}+2x-\frac{x^{3}}{3} \right ]^{2}_{-1}

                               =\frac{9}{2}                   

 


Option 1)

\frac{10}{3}

Option 2)

\frac{9}{2}

Option 3)

 \frac{31}{6}

Option 4)

 \frac{13}{6}

Posted by

solutionqc

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main Result 2024 Live: JEE Mains session 2 results at jeemain.nta.ac.in soon; rank predictor
anam-khan

JEE Main 2024 session 2 final answer key out at jeemain.nta.ac.in; steps to check probable scores
anam-khan

JEE Main Result 2024 Live: Download session 2 final answer key at jeemain.nta.ac.in; rank predictor, cutoff

Latest Question