Home
Class 11
MATHS
Find the angle of rotation to eliminate ...

Find the angle of rotation to eliminate xy term in the equation `x^(2) + 2 sqrt(3) xy - y^(2) = 18`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Solved Examples|4 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 1|37 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise EXERCISE - 3.2 (SHORT ANSWER QUESTIONS)|11 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

The angle of rotation of axes to remove xy terms in the equation 3x^(2) - 2 sqrt(3) xy + 9y^(2) = 10 is

The angle of rotation of axes to remove xy term in the equation 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 is

The angle of rotation of axes in order to eliminate xy term in the equation x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) is

The angle of rotation of axes to remove xy terms in the equation 9x^(2) - 2sqrt(3)xy + 3y^(2)=0 is

The angle of rotation of axes in order to eliminate xy term of the equation x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) is

Show that the angle of rotation of the axes to eliminate xy term in the equation ax^(2) + 2hxy + by^(2) = 0 " is " (1)/(2) Tan^(-1) ((2h)/(a - b)) " when " a ne b and pi //4 when a = b

The angle of rotation of axes in order to eliminate xy term in the equation 2x^(2) + sqrt(3)xy + 3y^(2)=9 is

The angle of rotation of axes to remove xy term in the equation xy = c^(2) is