Home
Class 12
MATHS
If the area enclosed between the curves ...

If the area enclosed between the curves `y=kx^2` and `x=ky^2`, where `kgt0`, is 1 square unit. Then k is: (a) `1/sqrt(3)` (b) `sqrt(3)/2` (c) `2/sqrt(3)` (d) `sqrt(3)`

A

`(1)/(sqrt(3))`

B

`(2)/(sqrt(3))`

C

`(sqrt(3))/(2)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|5 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos

Similar Questions

Explore conceptually related problems

If the area enclosed between the curves y=kx^(2) and x=ky^(2), where k>0, is 1 square unit.Then k is: (a) (1)/(sqrt(3)) (b) (sqrt(3))/(2) (c) (2)/(sqrt(3))(d)sqrt(3)

The area enclosed between the curves y = x^(3) and y = sqrt(x) is

The area enclosed between the curves y=ax^(2) and x=ay^(2)(a>0) is 1 sq.unit, value of a is (1)/(sqrt(3)) (b) (1)/(2)(c)1(d)(1)/(3)

Area bounded between the curves y=sqrt(4-x^(2)) and y^2=3|x| in square units is

The rationalisation factor of sqrt(3) is -sqrt(3) (b) (1)/(sqrt(3))(c)2sqrt(3)(d)-2sqrt(3)

The rationalisation factor of 2+sqrt(3) is 2-sqrt(3) (b) sqrt(2)+3(c)sqrt(2)-3(d)sqrt(3)-2

The area bounded by the curve x^(2)=ky,k>0 and the line y=3 is 12unit^(2) . Then k is (A)3(B)3sqrt(3)(C)(3)/(4) (D) none of these

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

The area enclosed by the curve y=sin x+cos x and y=|cos x-sin x| over the interval [0,(pi)/(2)] is 4(sqrt(2)-2) (b) 2sqrt(2)(sqrt(2)-1)2(sqrt(2)+1)(d)2sqrt(2)(sqrt(2)+1)

MCGROW HILL PUBLICATION-AREA BY INTEGRATION-Question from Previous Years. AIEEE/JEE Main Papers
  1. The area bounded by the curves y=sqrtx, 2y-x+3=0, X-axis and lying in ...

    Text Solution

    |

  2. The area under the curve y=|cosx-sinx|, 0 le x le pi/2, and above x-ax...

    Text Solution

    |

  3. The area bounded by the curve y =ln(x) and the lines y = 0, y =ln(3) a...

    Text Solution

    |

  4. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

    Text Solution

    |

  5. Let A={(x,y);y^2 leq 4x,y-2x leq -4}The area (insurunits) of the regi...

    Text Solution

    |

  6. The area of the region bounded by the curve y = tanx, tangent drawn ...

    Text Solution

    |

  7. The area (in square units) of the region bounded by the curves y+2x^(2...

    Text Solution

    |

  8. The area (in square units) of the region described by {(x, y):y^(2)le ...

    Text Solution

    |

  9. The area (in square units) of the region {(x,y):y^(2) ge 2x and x^(2)+...

    Text Solution

    |

  10. The area (in sq. units) of the region described by A={(x,y):y ge x^(2)...

    Text Solution

    |

  11. The area ( in sq. units) of the region {(x,y) : x ge 0, x + y le 3, x...

    Text Solution

    |

  12. The area (in sq. units) of the region {(x,y), x ge 0, y ge 0, y ge x-2...

    Text Solution

    |

  13. Let g(x) = cosx^(2), f(x) = sqrt(x), and alpha, beta (alpha lt beta)...

    Text Solution

    |

  14. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  15. The area of the region A={(x,y), 0 le y le x|x|+1 and -1 le x le 1} in...

    Text Solution

    |

  16. If the area enclosed between the curves y=kx^2 and x=ky^2, where kgt0,...

    Text Solution

    |

  17. Let I=int(a)^(b)(x^(4)-2x^(2))dx. If I is minimum then the ordered pai...

    Text Solution

    |

  18. The area of the region bounded by the curve x^(2)=4y and the straight ...

    Text Solution

    |

  19. The area (in sq units) of the region bounded by the parabola, y=x^(2)+...

    Text Solution

    |

  20. The area (in sq units) in the first quadrant bounded by the parabola,...

    Text Solution

    |