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 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
The length of perpendicular from origin to the line is.
A line moves in such a way that the sum of reciprocals of intersection on two mutually perpendicular lines by the line remains constant than the line passes through
Fixed Point
A variable point
Origin
None of these
If line passing through (4,3) and (2,k) is perpendicular to y = 2x + 3 then k =
-1
1
-4
4
If lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are concurrent,then a,b,c, are in
A.P
G.P
H.P
The lines passing through (3,2) and inclined at angle 60o with √3 x + y = 1 is.
y + 2 = 0
x + 2 = 0
x + y = 2
x - y = √3
Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
If two vertices of any triangle are (5,-1) and (-2,3) and if ortho-centre is on the origin,the coordinate of third vertex is
(7, 4 )
(-4 , 7)
(4 , -7)
(-4 , -7)
The equation of a diagonal passing through the origin of a quadrilateral formed by line x = 0, y = 0, x + y = 1 and 6x + y = 3 is
2x - 3y = 0
3x - 2y = 0
2x + 3y = 0
3x + 2y = 0
