The line joining two points A(2,0) and B(3,1) is rotated about A in anticlockwise direction through an angle of `15^@`. find the equation of line in the new position. If b goes to c in the new position what will be the coordinates of C.

The line segment joining A(3, 0) and B(5, 2) is rotated about A in the anticlockwise direction through an angle of 45^0 so that B goes to C . If D is the reflection of C in y-axis, find the coordinates of D .

A line segement AB through the point A(2, 0) which makes an angle of 30^0 with the positive direction of x-axis is rotated about A in anticlockwise direction through an angle of 15^0 . If C be the new position of point B(2+sqrt(3) , 1) , find the coordinates of C .

A line through the point A(2, 0) which makes an angle of 30^0 with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^0 . Find the equation of the straight line in the new position.

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.

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.

The line joining the points (-2,1,-8)a n d(a ,b ,c) is parallel to the line whose direction ratios are 6,2,a n d3. Find the values of a ,b and c

The line joining the points (-2,1,-8)a n d(a ,b ,c) is parallel to the line whose direction ratios are 6,2,and 3. Find the values of a ,b and c.

A line x-y+1=0 cuts the y-axis at A. This line is rotated about A in the clockwise direction through 75^@. Find the equation of the line in the new position (A) sqrt(3)y + x = sqrt3 (B) sqrt x + y = sqrt3 (C) x + sqrty = 1 (D) sqrt x + y = 1