If lines y = 3x + 1 and 2y = x + 3, are equally with y = mx + 4, m =
For which values of a and b are intercepts on axis by line ax + by + 8 = 0 equal and opposite in sign of intercepts on axis by line 2x + 3y + 6 = 0.
a = 8/3 b = -4
a = -8/3 b = -4
a = 8/3 b = 4
a = -8/3 b = 4
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 gradient of line which cuts equal intercepts with coordinate axis is.
-1
0
2
√3
The equation of two lines which pass through the point (3,2) and make angle of 45o with the line x - 2y = 3 are
3x + y + 7 = 0 and x + 3y + 9 = 0
3x - y - 7 = 0 and x + 3y - 9 = 0
x + 3y - 7 = 0 and x + 3y - 9 = 0
None of these
The equation of line passing through (c , d) and parallel to ax + by + c = 0 is
a (x +c ) + b ( y + d) = 0
a (x + c) - b (y + d) = 0
a (x - c) + b (y + d) = 0
a (x - c) - b (y - d) = 0
The distance between lines 3x + 4y = 9 and 6x + 8y = 15 is.
3/2
3/10
6
2/3
The equation of a line which is passing through (-3,2) and cuts intercepts on axis of opposite sign, is
x - y + 5 =0
x + y - 5 = 0
x - y - 5 = 0
x + y + 5 = 0
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 base of equilateral triangle is x + y = 2 and its vertex is (2,-1) , the length of side of triangle is.
√2
√3/2
√(2/3)