Home
Class 12
MATHS
If the tangent at (x(1),y(1)) to the cur...

If the tangent at `(x_(1),y_(1))` to the curve `x^(3)+y^(3)=a^(3)` meets the curve again at `(x_(2),y_(2))`, then `(x_(2))/(x_(1))+(y_(2))/(y_(1))` is equal to

A

-1

B

2a

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 5|5 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos
  • DIFFERENTIATION

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

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

An equilateral triangle has each side to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinat |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|^2 equals

The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) is

Sketch the curve y=(x-1)(x-2)(x-3) .

Tangent at a point P_(1) [other than (0,0)] on the curve y=x^(3) meets the curve again at P_(2). The tangent at P_(2) meets the curve again at P_(3) and so on. The ratio of area of DeltaP_(1)P_(2)P_(3) to that of DeltaP_(2)P_(3)P_(4) is