The equation of bisector of obtuse angle of x - 2y + 4 = 0 and 4x - 3y + 2 = 0 is.
(4 - √5 ) x - (3 - 2 √5) y + (2 - 4 √5 ) = 0
(4 + √5) x + (3 - 2 √5 )y + (2 - 4 √5) = 0
(4 - √5) x + (3 + 2 √5) y + (2 - 4 √5) = 0
(4 - √5) x - (3 + 2 √5 ) y - (2 - 4 √5 ) = 0
Lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 will be mutually perpendicular if.
a1 b2 - b1 a2 = 0
a1 a2 + b1 b2 = 0
a12 b2 + b12 a2 = 0
a1 b1 + a2 b2 = 0
The equation of a line passing through the intersection point of lines x - 2y = 1 and x + 3y = 2 and parallel to lines 3x + 4y = 0 is.
3x + 4y + 5 = 0
3x + 4y - 10 = 0
3x + 4y - 5 = 0
3x + 4y + 6 = 0
If line passing through (4,3) and (2,k) is perpendicular to y = 2x + 3 then k =
-1
1
-4
4
If lines 3x - 4y - 13 = 0,8x - 11y - 33 = 0 and 2x - 3y + λ = 0 are concurrent , λ =
7
-7
5
-5
The equation of line which passes through (1,-2) and cuts equal intercepts with coordinate axis is.
x + y = 1
x - y = 1
x + y + 1 = 0
x - y - 2 = 0
If lines 3y + 4x = 1 , y = x + 5 and 5y + bx = 3 are concurrent,then the value of b is.
3
6
0
The equation of lines passing through (3,2) and perpendicular to y = x is.
x - y = 5
x + y = 5
x - y =1
Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
None of these
The vertices of any traingle are (2,1) (5,2) and (4,4) , the length of perpendicular drawn from vertices on opposite sides are.
