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

Distance of point (1,3) from the line 2x-3y+9=0 along x-y+1=0

the image of the point (-1,3,4) in the plane x-2y=0 a. (-(17)/(3),(19)/(3),4) b. (15,11,4) c. (-(17)/(3),(19)/(3),1) d. ((9)/(5),-(13)/(5),4)

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)

Find the bisector of the angle containing the point (1,-2) between the lines 3x-4y = 0 and 5x + 12y +7 = 0

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

The plane, which passes throught the point (3,2,0) and line (x - 3)/1 = (y - 6)/5 = (z - 4)/4 is

The plane, which passes through the point (3,2,0) and line (x-3)/(1)=(y-6)/(5)=(z-4)/(4) is

If x + y = 0 is the angle bisector of the angle containing the point (1,0), for the line 3x + 4y + b = 0; 4x+3y + b =0, 4x + 3y-b = 0 then find the range of b

Show that the reflection of the line a x+b y+c=0 on the line x+y+1=0 is the line bx+a y+(a+b-c)=0 where a!=bdot

The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6 from the point (2,-3,-5) is a. (3,-5,-3) b. (4,-7,-9) c. (0,2,-1) d. none of these