Home
Class 12
MATHS
Sketch the region and find the area boun...

Sketch the region and find the area bounded by the curves `|y+x|le1,|y-x|le1` and `2x^(2)+2y^(2)ge1`.

Text Solution

Verified by Experts

The correct Answer is:
`(2-pi/2)` sq units
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|8 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Find the area bounded by the curve |y|+1/2 le e^(-|x|) .

Find the area bounded by the curves x ^(2) le y le x + 2:

Find the area bounded by curves (x-1)^(2)+y^(2)=1 and x^(2)+y^(2)=1

Find the area of the region bounded by the curves 2y^2=x, 3y^2=x+1, y=0 .

Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)= -x +1 .

Sketch the curves and identify the region bounded by the curves x=(1)/(2),x=2,y=log x an y=2^(x). Find the area of this region.

Find the area of the region bounded by the curve (y-1)^2=4(x+1) and the line y= x-1

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Subjective Type Questions)
  1. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

    Text Solution

    |

  2. Let f(t)=|t-1|-|t|+|t+1|, AA t in R. Find g(x) = max {f(t):x+1letlex+2...

    Text Solution

    |

  3. Let f(x)= minimum {e^(x),3//2,1+e^(-x)},0lexle1. Find the area bounded...

    Text Solution

    |

  4. Find t5he area bounded by y=f(x) and the curve y=2/(1+x^2) satisfying...

    Text Solution

    |

  5. The value of overset(sin^(2)x)underset(0)int sin^(-1)sqrt(t)dt+overs...

    Text Solution

    |

  6. Let T be an acute triangle Inscribe a pair R,S of rectangle in T as sh...

    Text Solution

    |

  7. Find the maximum area of the ellipse that can be inscribed in an isoce...

    Text Solution

    |

  8. In the adjacent figure the graph of two function y=f(x) and y=sin x ar...

    Text Solution

    |

  9. Find the area of the region bounded by curve y=25^(x)+16 and the curve...

    Text Solution

    |

  10. If the circles of the maximum area inscriabed in the region bounded by...

    Text Solution

    |

  11. Find limit of the ratio of the area of the triangle formed by the orgi...

    Text Solution

    |

  12. Find the area of curve enclosed by |x+y|+|x-y|le4,|x|le1, y ge sqrt(x^...

    Text Solution

    |

  13. Calculate the area enclosed by the curve 4lex^(2)+y^(2)le2(|x|+|y|).

    Text Solution

    |

  14. Find the area enclosed by the curve [x]+[y]-4 in 1st quadrant (where [...

    Text Solution

    |

  15. Sketch the region and find the area bounded by the curves |y+x|le1,|y-...

    Text Solution

    |

  16. Find the area of the region bounded by the curve 2^(|x|)|y|+2^(|x|-1)l...

    Text Solution

    |

  17. The value of the parameter a(a>=1) for which the area of the figure bo...

    Text Solution

    |