Home
Class 12
MATHS
A: If the transformed equation of a curv...

A: If the transformed equation of a curve is `9X^(2) + 16Y^(2) = 144` when the axes are rotated through an angle `45^(@)`, then the original equation is `25x^(2) - 14xy+ 25y^(2) = 288`.
R: If f(x,y)=0 is the transformed equation of a curve when the axes are rotate through an angle `theta` then the original equation of the curve is `f(x cos theta + y sin theta, -x sin theta + y cos theta)=0`

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true but R is not the correct explanation of A.

C

A is true but R is false

D

A is false but R is false

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3|2 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If the transformed equation of curve is 17X^(2) - 16XY + 17y^(2) = 225 when the axes are rotated through an angle 45^(0) , then the original equation of the curve is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

If the transformed equation of a curve is X^(2) + Y^(2) = 4 when the axes are translated to the point (3, -4) then find the original equation of the curve.

The transformed equation of 2xy + a^(2) =0 when the axes are rotated through an angle pi//4 is

If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^(2) = a^(2) when the axes are rotated through an angle alpha , then the original equation of the curve is

The transformed equation of 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 when the axes are rotated through an angle pi//6 is

Find the transformed equation of 3x^(2) + 10xy + 3y^(2) = 9 when the axes are rotated through an angle (pi)/(4)

The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the axes are rotated through an angle 60^(@) is