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

Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respectively. The line A B is rotated through 45^0 in anti clockwise direction about the point of trisection of A B which is nearer to Bdot The equation of the line in new position is: 2x-y-6=0 (b) x-y-1=0 3x-y-11=0 (d) None of these

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the equation of PQ

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the gradient of PQ.

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

The co-ordinates of two points P and Q are (2, 6) and (-3, 5) respectively. Find : the co-ordinates of the point where PQ intersects the x-axis.

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.

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.

Let the images of the point A(2, 3) about the lines y=x and y=mx are P and Q respectively. If the line PQ passes through the origin, then m is equal to

If the points P,Q,R,S are (4,7,8),(-1,-2,1),(2,3,4) and (1,2,5) respectively show that PQ and RS intersect. Also find the point of intersection.

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