Home
Class 12
MATHS
The x-intercept of the tangent at any ar...

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

A

square of the abscissa of the point of tangency

B

square root of the absciss of the point of tangency

C

cube of the abscissa of the point of tangency

D

cube root of the abscissa of the point of tangency

Text Solution

Verified by Experts

The correct Answer is:
C
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 abscissa of any point on y -axis is -

The abscissa of the point of intersection of the less than and greater than ogives corresponds to

Find the focal distance of a point on the parabola y^(2)=20 x if the abscissa of the point be 7 .

Find the abscissa of the point on the parabola y^(2)=2px , which is nearest to the point (a,0).

Abscissa of the point of intersection of the Iess than and greater than ogives corresponds to

Find the equation of tangent at the specified point on the following curve : y^(2)=x at the point whose abscissa is double the ordinate

The abscissa of the point on the parabola y^(2) = 2px which is nearest to the point (a, 0) is-

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

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Also curve passes through the point (1,1). Then the length of intercept of the curve on the x-axis is__________

If the perpendicular drawn on x-axis from the point of intersection of both ogives, the abscissa of the point of intersection of this penpendicular with the x-axis will be the median.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the length of tangent to the curve y=4x^3-2x^5 at (-1,1)

    Text Solution

    |

  2. The equation of the line tangent to the curve x siny + ysinx = pi at t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |