Home
Class 12
MATHS
At any point on the curve 2x^2y^2-x^4=c ...

At any point on the curve `2x^2y^2-x^4=c ,` the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to `or d in a t e` (b) radius vector `x-in t e r c e p toft a nge n t` (d) sub-tangent

A

ordinate

B

radius vector

C

x-intercect of tangent

D

sub-tangent

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Comprehension)|13 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.8|9 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

At any point on the curve 2x^(2)y^(2)-x^(4)=c, the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to ordinate (b) radius vector x-intercept of tangent ( d) sub-tangent

The distance between the point (1 1) and the normal to the curve y=e^(2x)+x^(3) at x=0 is

The distance between the origin and the tangent to the curve y=e^(2x)+x^(2) drawn at the point x=0 is

At any point on the curve y=f(x) ,the sub-tangent, the ordinate of the point and the sub-normal are in

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Determine p such that the length of the such- tangent and sub-normal is equal for the curve y=e^(px)+px at the point (0,1)

Find the equations of the tangent and the normal to the curve x y=c^2 at (c t ,\ c//t) at the indicated points.

Find the distance between the point (1, 1) and the tangent to the curve y = e^(2x) + x^(2) drawn from the point x = 0.

The y-intercept of the line normal to the curve y^2=x^2+33(y gt 0) at the point with abscissa 4 is :

For the curve x=t^(2)-1, y=t^(2)-t , the tangent is parallel to X-axis at the point where

CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. The equation of the line tangent to the curve x isn y + x = pi at the ...

    Text Solution

    |

  2. The x-intercept of the tangent at any arbitrary point of the curve a/(...

    Text Solution

    |

  3. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

    Text Solution

    |

  4. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

    Text Solution

    |

  5. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  6. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

  7. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

    Text Solution

    |

  8. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  9. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |

  10. The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis a...

    Text Solution

    |

  11. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

    Text Solution

    |

  12. The coordinates of a point on the parabola y^2=8x whose distance from ...

    Text Solution

    |

  13. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  14. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  15. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  16. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  17. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  18. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  19. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  20. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |