Image of `P(3,5)` on the line `y=x+1` is `Q` .Then `Q` lies on

The image of P(a,b) on the line y=-x is Q and the image of Q on the line y=x is 'R' find the mid-point of 'P' and 'R'

The image of P(a ,b) on the line y=-x is Q and the image of Q on the line y=x is R . Then the midpoint of P R is (a) (a+b ,b+a) (b) ((a+b)/2,(b+2)/2) (c) (a-b ,b-a) (d) (0,0)

If the image of point P(2, 3) in a line L is Q (4,5) then, the image of point R (0,0) in the same line is:

Let P be a point in the first octant, whose image Q in the plane x+y=3 (that is, the line segment P Q is perpendicular to the plane x+y=3 and the mid-point of P Q lies in the plane x+y=3) lies on the z-axis. Let the distance of P from the x-axis be 5. If R is the image of P in the xy-plane, then the length of P R is _______.

The point Q is the image of the P in line x + y+ 4= 0 and R is the image of Q in line 2x-y + 7=0. If P = (1,6), then the circumcentre of triangle PQR is

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=5 , then the equation of the line PQ is

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=5 , then the equation of the line PQ is

Let 2x - 3y = 0 be a given line and P (sintheta, 0) and Q(0, costheta) be two points. Then P and Q lies on the same side of the given line if theta lies in the

Let P a point on the line y=3x and Q lies on 2y+x=2 and the mid-point of P Q is (2, 3). The distance P Q is (a)4 (b) 6 (c) 8 (d) 10

The line joining the points (2,\ 1) and (5,\ -8) is trisected at the points P and Q . If point P lies on the line 2x-y+k=0 . Find the value of k .