Home
Class 12
MATHS
If a variable tangent to the curve x^2y=...

If a variable tangent to the curve `x^2y=c^3` makes intercepts `a , bonx -a n dy-a x e s ,` respectively, then the value of `a^2b` is

A

`27c^(3)`

B

`(4)/(27)c^(3)`

C

`(27)/(4)c^(3)`

D

`(4)/(9)c^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line, which makes intercepts -3 and 2 on the x and y-axis respectively.

Find slope of tangent to the curve x^2 +y^2 = a^2/2

Slope of tangent to the curve 'y = x^2-2x+1' at x=3 is :

The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with y-axis, then the value of tan theta is

The equations of the tangents to the ellipse 3x^(2)+y^(2)=3 making equal intercepts on the axes are

Show that the tangents to the curve y = 2x^3 - 3 at the points where x = 2 and x = -2 are parallel.

ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R, if f...

    Text Solution

    |

  2. Let a curve y=f(x),f(x)ge0, AA x in R has property that for every poin...

    Text Solution

    |

  3. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx ...

    Text Solution

    |

  4. Let f(x)=|(1,1,1),(3x-x,5-3x^(2),3x^(3)-1),(2x^(2)-1,3x^(5)-1,7x^(8)-1...

    Text Solution

    |

  5. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

    Text Solution

    |

  6. In which of the following functions is Rolles theorem applicable? (a)f...

    Text Solution

    |

  7. The figure shows a right triangle with its hypotenuse OB along the y-a...

    Text Solution

    |

  8. Number of positive integral value(s) of a for which the curve y=a^(x) ...

    Text Solution

    |

  9. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  10. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  11. Coffee is coming out from a conical filter, with height and diameter b...

    Text Solution

    |

  12. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  13. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

    Text Solution

    |

  14. Let f(x)=x^3-3x^2+2x Find f'(x)

    Text Solution

    |

  15. The Curve possessing the property that the intercept made by the tange...

    Text Solution

    |

  16. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

    Text Solution

    |

  17. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  18. At any two points of the curve represented parametrically by x=a (2 co...

    Text Solution

    |

  19. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

    Text Solution

    |

  20. Given f'(1)=1and f(2x)=f(x)AAxgt0.If f'(x) is differentiable, then th...

    Text Solution

    |