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 (a)Ordinate (b) radius vector (c)x-intercept of tangent (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

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

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

The x-intercept of the tangent at any arbitrary point of the curve a/(x^2)+b/(y^2)=1 is proportional to square of the abscissa of the point of tangency square root of the abscissa of the point of tangency cube of the abscissa of the point of tangency cube root of the abscissa of the point of tangency

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

A particle moves along the curve y^(2) = 8x . At what point on the curve do the abscissa and ordinate increase at the same rate?

For the curve x^(2)+4xy+8y^(2)=64 , the tangents are parallel to the x-axis only at the points-

For the curve x^(2)+4xy+8y^(2)=64 the tangents are parallel to the x-axis only at the points

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

Find the equation of the tangent and normal of the following curves at the specified point: y=x^(2)+4x+1 at x=3

Find the abscissa of the point on the curve x^(3)=ay^(2) , the normal at which cuts off equal intecepts from the coordinate axes.

Find the equations of the tangent and normal to the curve y=x^2-4x-5 at x= -2.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The equation of the line tangent to the curve x siny + ysinx = pi at t...

    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 ^(kx) at a point (0,1) meets the x-axis...

    Text Solution

    |

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

    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

    |