If lines 2x + 3ay - 1 = 0 and 3x + 4y + 1 = 0 are mutually perpendicular , then a =
2
-1/2
1/2
1
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
A straight line makes angle 135o with x - axis and cut y - axis at distance -5 from origin.The equation of line is.
2x + y + 5 = 0
x + 2y + 3 = 0
x + y + 5 = 0
x + y + z = 0
The coordinates of foot of perpendicular from origin to the line 3x+4y -5 = 0 is
The angle between lines y = (2 - √3) x + 5 and y = (2 + √3) x - 7 is.
30o
45o
-60o
90o
The equation of line which is perpendicular to x + y + 1 = 0 and passes through (1,2) is.
y - x + 1 = 0
y - x - 1 = 0
y - x + 2 = 0
y - x - 2 = 0
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
If P is the length of perpendicular from origin to the line which intercepts a and b on axes , then.
a2 + b2 = p2
a2 + b2 = 1/p2
1/a2 + 1/b2 = 2/p2
1/a2 + 1/b2 = 1/p2
Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
None of these
If lines 3x - y =2,5x + ay = 3 and 2x + y = 3 are concurrent ,then a =
3
-1
-2
