[" HHim) "x+2y+32+7=0" riti "2x+4y+6z+7=0],[" कि dey A sif elnt "]

If the equations of the tangent to the circle x^(2)+ y^(2)- 2x + 6y -6 =0 parallel to 3x - 4y + 7=0 is 3x - 4y +k=0 , then the values of k are : a) 5,-35 b) -5,35 c) 7,-32 d) -7,32

Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " 2x + y - 2z = 5 (ii) 4 x + 8y + z = 8 " " and y + z = 4 (iii) 2 x - y + z =6 " " and x + y + 2z = 7 .

If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which option is correct

If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which option is correct

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =

The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z + 7 = 0 is

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them : (a) 7x + 5y + 6z + 30 = 0 and 3x - y-10z + 4 = 0 (b) 2x + y + 32 - 2 = 0 and x - 2y + 5 = 0 (c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z-1 = 0 (d) 2x – y + 3z-1 = 0 and 2x - y + 3z + 3 = 0 (e) 4x + 8y + z - 8 = 0 and y + z - 4 = 0