If lines y = 3x + 1 and 2y = x + 3, are equally with y = mx + 4, m =
The line joining points A (2,0) and B (3,1) is rotated about A in anti - clock wise direction through 15o.The equation of line in new position is.
√3 x - y - 2 √3 = 0
x - √3 y - 2 = 0
√3 x + y - 2 √3 = 0
x + √3 y - 2 = 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
None of these
The length of perpendicular from origin to the line is.
The equation of a line which makes an angle of 120o with x - axis and the length of perpendicular from origin on its 4 units, is
x √3 + y + 8 = 0
x √3 - y = 8
x √3 - y = 0
x √3 + y = 0
The lines ax + by + c + = 0 , bx + cy + a = 0 and cx + ay + b = 0 are concurrent, if
a3 + b3 + c3 + 3 abc = 0
a3 + b3 + c3 - 3 abc = 0
a3 - b3 + c3 - 3 abc = 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
Line 2x + 3y = 12 meets x - axis at A and y - axis at B.The line passing through (5,5) is perpendicular to AB and it meets x - axis, y - axis and AB at points CD and E respectively.If O is the origin,then the area of OCEB is
23 sq.units
23/2 sq.units
23/3 sq.units
23/4 sq.units
The equation of line passing through intersection point of lines x + 5y + 7 = 0 and 3x + 2y - 5 = 0 and perpendicular to line 7x + 2y - 5 = 0 is.
2x - 7y - 20 = 0
2x + 7y - 20 = 0
-2x + 7y - 20 = 0
2x + 7y + 20 = 0
If lines 2x + 3ay - 1 = 0 and 3x + 4y + 1 = 0 are mutually perpendicular , then a =
2
-1/2
1/2
1
