Lines (a - b ) x + (b - c) y + (c - a) = 0, (b - c ) x + (c - a) y + (a - b) = 0, (c - a ) x + (a - b) y + (b - c ) = 0 are
Parallel
Concurrent
Mutually Perpendicular
None of these
The equation of line joining origin to (-4,5) is
5x + 4y = 0
5x - 4y = 0
4x + 5y = 0
4x - 5y = 0
The coordinates of mid - point of portion of line cut by coordinates axis are (3,2) , the equation of the line is
2x + 3y = 12
3x + 2y = 12
4x - 3y = 6
4x + 3y = 12
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
The length of perpendicular from (3,1) to line 4x + 3y + 20 = 0 is.
6
7
3
8
The equation of line passing through the intersection of lines x - 3y + 1 = 0 and 2x + 5y - 9 = 0 having infinite gradient and at a distance 2 units from origin is
x = 2
3x + y - 1
y =1
x = -2
Distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is.
7/10
1/10
7/5
5/7
The portion of a line between axis is divided by point (-5,4) in the ratio 1 : 2.The equation of line is
8x - 5y + 60 = 0
8x + 5y + 60 = 0
5y - 8x + 60 = 0
5x + 8y - 60 = 0
If in the equation y - y1 = m (x - x1) , m and x , remain constant different lines are drawn for different values of y1 , then.
Lines are concurrent
A set of parallel lines is obtained
Only one line is possible
The foot of perpendicular drawn from origin to the line joining points (a cos a, a sin a) and (a cos β , a sin β) is