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 abscissa 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

  • 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

The Curve possessing the property that the intercept made by the tangent at any point of the curve on they-axis is equal to square of the abscissa of the point of tangency, is given by

Show that equation to the curve such that the y-intercept cut off by the tangent at an arbitrary point is proportional to the square of the ordinate of the point of tangency is of the form a/x+b/y=1 .

Find the curve for which the intercept cut off by any tangent on y-axis is proportional to the square of the ordinate of the point of tangency.

The slope of the tangent at any arbitrary point of a curve is twice the product of the abscissa and square of the ordinate of the point. Then, the equation of the curve is (where c is an arbitrary constant)

Abscissa of all the points on the X-axis is

A point P lies on the x-axis and another point Q lies on the y-axis. Write the abscissa of point Q.

A point P lies on x-axis and another point Q lies on y-axis. Write the abscissa of the point Q.

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

The slope of a curve at each of its points is equal to the square of the abscissa of the point. Find the particular curve through the point (-1,1).

Suppose a curve whose sub tangent is n times the abscissa of the point of contact and passes through the point (2, 3). Then

ARIHANT MATHS ENGLISH-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  18. The range of values of m for which the line y = mx and the curve y=(x)...

    Text Solution

    |

  19. Let S be a square with sides of length x. If we approximate the change...

    Text Solution

    |

  20. Consider f(x)=int1^x(t+1/t)dt and g(x)=f'(x) If P is a point on the cu...

    Text Solution

    |