The length of perpendicular from (3,1) to line 4x + 3y + 20 = 0 is.
6
7
3
8
The distance between lines 3x + 4y = 9 and 6x + 8y = 15 is.
3/2
3/10
2/3
If lines 2x + 3ay - 1 = 0 and 3x + 4y + 1 = 0 are mutually perpendicular , then a =
2
-1/2
1/2
1
If lines 3y + 4x = 1 , y = x + 5 and 5y + bx = 3 are concurrent,then the value of b is.
0
If lines 3x - 4y - 13 = 0,8x - 11y - 33 = 0 and 2x - 3y + λ = 0 are concurrent , λ =
-7
5
-5
If lines 3x - y =2,5x + ay = 3 and 2x + y = 3 are concurrent ,then a =
-1
-2
The coordinates of foot of perpendicular from (2,3 ) to the line x + y -11 = 0 are
(-6,5)
(5,6)
(-5,6)
(6,5)
Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
None of these
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 base of equilateral traingle is x + y = 2 and its vertex is (2,-1) , the length of side of traingle is.
√2
√3/2
√(2/3)
√3
