Home
Class 11
MATHS
Find the transformed equation of 3x^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
`8X^(2) - 2Y^(2) = 9`
Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Exercise|4 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 2 (Very short answer questions)|3 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) ADVANCED|5 Videos

Similar Questions

Explore conceptually related problems

Find the transformed equation of 4xy-3x^(2) = a^(2) when the axes are rotated through an angle Tan^(-1) 2.

Find the transformed equation of x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0)

The transformed equation of x^(2) + y^(2) =a^(2) when the axes are rotated through an angle 18^(@) is

The transformed equation of x^(2) + y^(2) =r^(2) when the axes are rotated through an angle 36^(@) is

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

The transferred equation of x^(2) + 6xy + 8y^(2)=10 when the axes are rotated through an angle pi//4 is

The transformed equation of x^(2) + 4xy + y^(2) - 2x +2y-6=0 when the axes are rotated through an anlge pi//4 is

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