Home
Class 12
MATHS
The tangent to the curve y=x-x^(3) at a ...

The tangent to the curve `y=x-x^(3)` at a point p meets the curve again at Q. Prove that one point of trisection of PQ lies on the Y-axis. Find the locus of the other points of trisection.

Text Solution

Verified by Experts

The correct Answer is:
`y=x-5x^(3)`
Promotional Banner

Topper's Solved these Questions

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

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

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

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 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

PQ is a double ordinate of a parabola y^2=4a xdot Find the locus of its points of trisection.

Statement I The tangent at x=1 to the curve y=x^(3)-x^(2)-x+2 again meets the curve at x=0 Statement II When an equation of a tangent solved with the curve, repeated roots are obtained at the point of tengency.

Show that x/a+y/b=1 touches the curve y=be^(-x//a) at the point, where the curve crosses the y-axis.

The tangent of the curve y = 2x^2 - x + 1 is parallel to the line y = 3x + 9 at the point

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x . The locus of the midpoint of PQ is

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