The distance between lines 3x + 4y = 9 and 6x + 8y = 15 is.
3/2
3/10
6
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 angle between lines and is.
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 obtuse angle between lines y = -2 and y = x + 2 is.
120o
135o
150o
140o
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 ortho-center of triangle whose vertices are (0,0) , (3,0) and (0,4) is.
(0,0)
(1,1)
(2,2)
(3,3)
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 coordinates of foot of perpendicular from (x1,y1) on ax + by + c = 0 are
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
