Home
Class 12
MATHS
The equation of curve referred to the ne...

The equation of curve referred to the new axes, axes retaining their directions, and origin `(4,5)` is `X^2+Y^2=36` . Find the equation referred to the original axes.

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|10 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

The equation of the normal to the curve y^(4)=ax^(3) at (a, a) is

The equation of a curve referred to a given system of axes is 3x^2+2x y+3y^2=10. Find its equation if the axes are rotated through an angle 45^0 , the origin remaining unchanged.

The equation of a curve referred to a given system of axes is 3x^2+2x y+3y^2=10. Find its equation if the axes are rotated through an angle 45^0 , the origin remaining unchanged.

The co-ordinate axes are rotated about the origin O in the counter-clockwise direction through an angle 60^(@) If p and q are the intercepts made on the new axes by a straight line whose equation referred to the original axes is x + y = 1 , then (1)/(p^(2)) + (1)/(q^(2)) =

If the transformed equation of curve is X^(2)+Y^(2)=4 when the axes are translated to the point (-1,2) then find the original equation of the curve.

Find the equation of the hyperbola, referred to its axes as the axes of coordinates, whose conjugate axis is 3 and the distance between whose foci is 5,

Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a)

The equation of the tangents at the origin to the curve y^2=x^2(1+x) are

If the transformed equation of curve is X^(2)+2Y^(2)+16=0 when the axes are translated to the point (-1,2) then find the original equation of the curve.

Find the equation of the hyperbola, referred to its axes as the axes of coordinates, whose foci are (2,0) and (-2,0) and eccentricity equal to 3/2,