[(-3,9)],[" If the axes be turned through an angle tan "^(1)2" (in anticlockwise direction).what does the ect "],[4xy-3x^(2)=a^(2)" become? "]

If the axes be turned through an angle tan^(-1)2 (in anticlockwise direction,what does the equatio 4xy-3x^(2)=a^(2) become ?

If the axes be turned through an angle tan^-1 2 (in anticlockwise direction), what does the equatio 4xy-3x^2=a^2 become ?

If the axes are rotated through an angle theta in counter clockwise direction, the transformed equation of 4xy-3x^(2)=a^(2) is given by X^(2)-4Y^(2)=a^(2) then positive integer value of tan theta=

If the axes are rotated through an angle 180^(@) then the equation 2x-3y+4=0 becomes

If the axes are rotated through an angles 30° in the anticlockwise direction and the point is (4, -2 sqrt3) in the new system, the formal point is

By rotating the coordinates axes through 30^(@) in anticlockwise sense the eqution x^(2)+2sqrt(3)xy-y^(2)=2a^(2) change to

By rotating the coordinates axes through 30^(@) in anticlockwise sense the eqution x^(2)+2sqrt(3)xy-y^(2)=2a^(2) change to