Home
Class 12
MATHS
At what points of the ellipse 16x^(2)+9y...

At what points of the ellipse `16x^(2)+9y^(2)=400` does the ordiante decreases at the same rate at which the abscissa increases?

Text Solution

Verified by Experts

The correct Answer is:
`(3,(16)/(3)),(-2,(-16)/(3))`
Promotional Banner

Topper's Solved these Questions

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

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos

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

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

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

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

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

The points of the ellipse 16x^(2)+9y^(2)=400 at which the ordinate decreases at the same rate at which the abcissa increases is

The point on the ellipse 16x^(2)+9y^(2)=400 , where the ordinate decreases at the same rate at which the abscissa increases is (a, b), then a+3b can be

Foci of the ellipse 16x^(2)+25y^(2)=400 are

The point on the ellips 9x^(2) +16y^(2)=400 at which the abscissa and ordinate decrease at the same rate is

What is the area of the ellipse 4x^(2) + 9y^(2) = 1 .

At what point of the parabola y^2=18x , does the ordinate increase at twice the rate of the abscissa ?

The point on the circle x^(2)+y^(2)=8 at which the abscissa and ordinate increase at the same rate is

Points on the ellipse (x^(2))/(25)+(9y^(2))/(400)=1 at which the abscissa increase at the same rate as the ordinate decreases are

A particle moves along the curve x^(2)=2y . At what point, ordinate increases at the same rate as abscissa increases ?

A tangent to the ellipse 16x^(2)+9y^(2)=144 making equal intercepts on both the axes is