If the pair of straight lines `ax^2+2hxy+by^2=0` is rotated about the origin `90^@`; then find the eqution in the new position .

If the pair of straight lines ax^(2)+2hxy+by^(2)=0 is rotated about the origin through 90^(0), then find the equations in the new position.

If the pair of straight lines ax^(2)+2hxy+by^(2)=0 is rotated about the origin through 90^(@) , then their equations in the new position are givne by

If the pair of lines sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0 is rotated about the origin by (pi)/(6) in the anticlockwise sense,then find the equation of the pair in the new position.

If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the y-axis then

If the straight lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the X -axis,then

If one of the lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 passes through the origin then

If the pairs of straight lines ax^2+2hxy-ay^2=0 and 'bx^2+2gxy-by^2=0 be such that each bisects the angles between the other , then

The pair of lines sqrt3x^(2)-4xy+sqrt3y^(2)=0 are rotated about the origin by pi//6 in anticlockwise sense. The equation of the pair in the new position, is