A: The angle of rotation to remove the xy-term in the equation `2x^(2) + sqrt(3)xy + 3y^(2) =9` is `pi//6`. R: The angle of rotation of the axes to eliminate xy term in the equation. `ax^(2) + 2hxy + by^(2) + 2gx + 2fy +c=0` is `1/2 tan^(-1)((2h)//(a-b))`
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:
D
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
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 to remove xy term in the equation 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 is
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 xy = c^(2) is
The angle of rotation of axes to remove xy term of the equation xy = c^(2) is
The angle of rotation of axes to remove xy term in the equation x^(2) + 4xy + y^(2) - 2x + 2y -6=0 is
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 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 in order to eliminate xy term of the equation x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) is
DIPTI PUBLICATION ( AP EAMET)-TRANSFORMATION OF AXES -SET-4