The reflection of the point (4,-13) about the line `5x+y+6=0` is `(-1,-14)` b. `(3,4)` c. `(0,-0)` d. `(1,2)`

Find the image of the point (4,-13) in the line 5x+y+6=0.

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (1/2,1/2) (b) (1/3,1/3) (0,0) (d) (1/4,1/4)

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

Find the position of the points (1, 1) and (2, -1) with respect to the line 3x+4y-6=0 .

A point equidistant from the line 4x+3y+10=0,\ 5x-12 y+26=0\ a n d\ 7x+24 y-50=0 is a. (1,-1) b. (1,1) c. (0,0) d. (0,1)

The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x-y=0a n d3z-y=0 and perpendicular to the plane 4x+5y-3z=8. Then the points which lie on the plane P=0 is/are a. (0,9,17) b. (1//7,2,1//9) c. (1,3,-4) d. (1//2,1,1//3)

The coordinates of the point of intersection of the lines (x-1)/1=(y+2)/3=(z-2)/(-2) with the plane 3x+4y+5z-25=0 is (A) (5,6,-10) (B) (5,10,-6) (C) (-6,5,10) (D) (-6,10,5)

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x-y=0a n d3z-y=0 and perpendicular to the plane 4x+5y-3z=8. Then the points which lie on the plane P=0 is/are a. (0,9,17) b. (1//7,21//9) c. (1,3,-4) d. (1//2,1,1//3)

The equation of the plane thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0