Home
Class 12
MATHS
If kx + 2y - 1 = 0 and 6x -4y +2=0 are i...

If kx + 2y - 1 = 0 and 6x -4y +2=0 are identical lines, then determine k.

A

6

B

`1//6`

C

3

D

`-3`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a circle, then find the radius of the circle.

If the lines 2x+ y-3 = 0, 5x+ky - 3=0 and 3x -y -2 =0 are concurrent, find the value of k.

The lines ax + 2y + 1 = 0, bx + 3y +1 =0 and cx + 4y + 1=0 are concurrent if a, b, c are in A.P.

If the lines 5x - ky + 3 = 0 and 4x - 3y - 4 = 0 are parallel then k = ........... .

Find the equation of the plane passing through the intersection of the planes 2x - 3y + z-4 = O and x-y + 2 + 1 = 0 and perpendicular to the plane x + 2y - 3z + 6 = 0.

Without finding point of intersection obtain the equation of line passes from point of intersection of lines 5x + y + 4 = 0 and 2x + 3y - 1 = 0. which is parallel to the line 4x - 2y- 1 = 0.

If x_(1),x_(2) "and" y_(1),y_(2) are the roots of the equations 3x^(2) -18x+9=0 "and" y^(2)-4y+2=0 the value of the determinant |{:(x_(1)x_(2),y_(1)y_(2),1),(x_(1)+x_(2),y_(1)+y_(2),2),(sin(pix_(1)x_(2)),cos (pi//2y_(1)y_(2)),1):}| is

Prove that the centres of the circle x^(2) + y^(2) - 4x - 2y + 4 = 0, x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) + 2x - 8y + 1 = 0 are collinear. More over prove that their radii are in geometric pregression.

Find k if lines 5x - ky- 7=0 and 2x + 3y + 5 =0 are mutually perpendicular.