Home
Class 12
MATHS
Two curves C(1)equiv[f(y)]^(2//3)+[f(x)]...

Two curves `C_(1)equiv[f(y)]^(2//3)+[f(x)]^(1//3)=0 and C_(2)equiv[f(y)]^(2//3)+[f(x)]^(2//3)=12,` satisfying the relation `"(x-y)f(x+y)-(x+y)f(x-y)=4xy(x^(2)-y^(2))`
The area bounded by the curve `C_(2) and |x|+|y|=sqrt(12)` is

A

(a) `12pi-24` sq. units

B

(b) `6-sqrt(12)` sq. units

C

(c) `2sqrt(12)-6` sq. units

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Required area = Area of circle- Area of square
`=12pi-24` sq. units.
Promotional Banner

Topper's Solved these Questions

  • AREA

    CENGAGE PUBLICATION|Exercise Matrix Match Type|5 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Numerical Value Type|18 Videos

  • AREA

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|13 Videos

  • APPLICATIONS OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise Subjective Type|2 Videos

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Comprehension|11 Videos

Similar Questions

Explore conceptually related problems

Two curves C_(1)equiv[f(y)]^(2//3)+[f(x)]^(1//3)=0 and C_(2)equiv[f(y)]^(2//3)+[f(x)]^(2//3)=12, satisfying the relation "(x-y)f(x+y)-(x+y)f(x-y)=4xy(x^(2)-y^(2)) The area bounded by the curve C_(1) and C_(2) is

The area bounded by the curve y=3/|x| and y+|2-x|=2 is

Find the area bounded by the curve x^2=y ,x^2=-y and y^2=4x-3

Find the area bounded by the curves x^2+y^2=4, x^2=-sqrt2 y and x=y

If a function satisfies (x-y) f(x+y)-(x+y) f(x-y) = 2(x^2y - y^3), AA x, y in R and f(1) = 2, then

If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA x, y, in R and f(0) ne 0 , then

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

Given f(x)=cos (logx), find the value of f(x).f(y)-(1)/(2)[f(x/y)+f(xy)]

A real valued function satisfies the relation f(x+y)=f(x)+f(y)+(e^x-1)(e^y-1) , AAx,y in R . If f'(0) = 2, find f(x).

y=f(x), where f satisfies the relation f(x+y)=2f(x)+xf(y)+ysqrt(f(x)) , AAx,y epsilon R and f'(0)=0.Then f(6)is equal ______

CENGAGE PUBLICATION-AREA-Linkded Comprehension Type
  1. Let A(r) be the area of the region bounded between the curves y^(2)=(e...

    Text Solution

    |

  2. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

    Text Solution

    |

  3. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

    Text Solution

    |

  4. If y=f(x) is a monotonic function in (a,b), then the area bounded by t...

    Text Solution

    |

  5. If S(0),S(1),S(2),… are areas bounded by the x-axis and half-wave of t...

    Text Solution

    |

  6. Consider the sequence of natural numbers S0,S1,S2,... such that S0 =3,...

    Text Solution

    |

  7. If S(0),S(1),S(2),… are areas bounded by the x-axis and half-wave of t...

    Text Solution

    |

  8. Two curves C(1)equiv[f(y)]^(2//3)+[f(x)]^(1//3)=0 and C(2)equiv[f(y)]^...

    Text Solution

    |

  9. Two curves C(1)equiv[f(y)]^(2//3)+[f(x)]^(1//3)=0 and C(2)equiv[f(y)]^...

    Text Solution

    |

  10. The area bounded by the curve y^(2)(2-x)=x^(3) and x=2 is

    Text Solution

    |

  11. Consider the two curves C(1):y=1+cos x and C(2): y=1 + cos (x-alpha)" ...

    Text Solution

    |

  12. Consider two curves C1: y=1/x a n dC2: y=logx on the x y plane. Let D1...

    Text Solution

    |

  13. Consider the function defined implicity by the equation y^(2)-2ye^(sin...

    Text Solution

    |

  14. Consider the function defined implicity by the equation y^(2)-2ye^(sin...

    Text Solution

    |

  15. Consider two functions f(x)={([x]",",-2le x le -1),(|x|+1",",-1 lt x...

    Text Solution

    |

  16. Computing area with parametrically represented boundaries : If the bou...

    Text Solution

    |

  17. Computing area with parametrically represented boundaries : If the bou...

    Text Solution

    |

  18. Computing area with parametrically represented boundaries : If the bou...

    Text Solution

    |

  19. Let f(x) be a continuous function fiven by f(x)={(2x",", |x|le1),(x^(2...

    Text Solution

    |

  20. Let f(x) be continuous function given by f(x)={2x ,|x|lt=1and x^2+a x+...

    Text Solution

    |