Consider the family of lines (x-y-6) + l...

Consider the family of lines `(x-y-6) + lambda(2x + y + 3) = 0` and `(x + 2y-4) + mu(3x - 2y-4)=0`.
If the lines of these two families are at right angle to each other, then the locus of their point of intersection, is

A

`x^2 + y^2 - 3x + 4y - 3 = 0`

B

`x^2 + y^2 + 3x - 4y - 3 = 0`

C

`x^2 + y^2 - 3x - 4y - 3 = 0`

D

`x^2 + y^2 + 3x + 4y - 3 = 0`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Obtain the equation of the family of straight lines parallel to the line y=2x.

If (a, 2) is the point of intersection of the straight lines y = 2x - 4 and y = x+c , then the value of c is equal to

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Find the angle between these two lines.

Consider the equation of the line 3x-4y+10=0 Find its x and y intercepts.

The line 2x-y=1 bisects angle between two lines. If equation of one line is y = x, then the equation of the other line is :

Find the value of p so that the three lines 3x + y - 2 = 0, px + 2y - 3 = 0 and 2x - y -3 = 0 may intersect at a point.

Find the equation of the line parallel to y-axes and drawn through the point of intersection of the lines x- 7y + 5 = 0 and 3x + y = 0

Find the equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,3).

Find the equation of the line parallel to y - axis' and drawn thróugh the point of intersection of the lines x-7 y+5=0 and 3 x+y=0

Consider the lines 2x-3y+9=0 and 2x-3y+7=0 Find the distance between these two lines.