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 `27c^3` (b) `4/(27)c^3` (c) `(27)/4c^3` (d) `4/9c^3`

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 ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|4 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

If the tangent at any point on the curve x^4 + y^4 = c^4 cuts off intercepts a and b on the coordinate axes, the value of a^(-4/3)+b^(-4/3) is

If a - 2b + 3c= 0 , state the value of a^(3) -8b^(3) + 27c^(3)

If the tangent to the curve 4x^(3)=27y^(2) at the point (3,2) meets the curve again at the point (a,b) . Then |a|+|b| is equal to -

If the maximum and minimum values of y=(x^2-3x+c)/(x^2+3x+c) are 7 and 1/7 respectively then the value of c is equal to (A) 3 (B) 4 (C) 5 (D) 6

If 8^(x+1)=64 , what is the value of 3^(2x+1) ? (a)1 (b) 3 (c) 9 (d) 27

If a+b+c=9\ \ \ a n d\ \ \ a b+b c+c a=26 , find the value of a^3+b^3+c^3-3a b c

If the line joining the points (0,3)a n d(5,-2) is a tangent to the curve y=C/(x+1) , then the value of c is 1 (b) -2 (c) 4 (d) none of these

If a b^2c^3, a^2b^3c^4,a^3b^4c^5 are in A.P. (a ,b ,c >0), then the minimum value of a+b+c is (a) 1 (b) 3 (c) 5 (d) 9

Express the following as mixed fractions : (a) (17)/4 (b) (11)/3 (c) (27)/5 (d) 7/3

If the line y = 3x + c is a tangent to x^(2) + y^(2) = 4 then the value of c is

ARIHANT MATHS ENGLISH-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 x-intercept of the tangent at any arbitrary point of the curve a/(...

    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

    |