The line PQ whose equation is x-y = 2 cuts the x-axis at P, and Q is (4,2). The line PQ is rotated about P through `45^(@)` in the anticlockwise direction. The equation of the line PQ in the new position is

The line P Q whose equation is x-y=2 cuts the x-axis at P ,and Q is (4,2). The line P Q is rotated about P through 45^@ in the anticlockwise direction. The equation of the line P Q in the new position is (A) y=-sqrt(2) (B) y=2 (C) x=2 (D) x=-2

The line P Q whose equation is x-y=2 cuts the x-axis at P ,a n dQ is (4,2). The line P Q is rotated about P through 45^0 in the anticlockwise direction. The equation of the line P Q in the new position is y=-sqrt(2) (b) y=2 x=2 (d) x=-2

The line 2x-y = 5 turns about the point on it, whose ordinate and abscissae are equal through an angle of 45^@ in the anti-clockwise direction. Find the equation of the line in the new position.

The line 3x - 4y + 7 = 0 is rotated through an angle pi/4 in the clockwise direction about the point (-1, 1) . The equation of the line in its new position is

If the pair of lines sqrt(3)x^2-4x y+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 sqrt(3)x^2-4x y+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.

Let the coordinates of two points P and Q be (1, 2) and (7, 5) respectively. The line PQ is rotated thorugh 315^(@) is clockwise direction about the point of trisection of PQ which is nearer to Q. The equation of the line in the new position is

The line through P(5, 3) intersects y-axis at Q. Write the equation of the line.

The line through P (5, 3) intersects Y-axis at Q. Write the equation of the line.

A line through the point P (1, 2) makes an angle of 60^0 with the positive direction of x-axis and is rotated about P in the clockwise direction through an angle 15^0 . Find the equation of the straight line in the new position.