If lines 2x + 3ay - 1 = 0 and 3x + 4y + 1 = 0 are mutually perpendicular , then a =
2
-1/2
1/2
1
Lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 will be mutually perpendicular if.
a1 b2 - b1 a2 = 0
a1 a2 + b1 b2 = 0
a12 b2 + b12 a2 = 0
a1 b1 + a2 b2 = 0
The base of equilateral traingle is x + y = 2 and its vertex is (2,-1) , the length of side of traingle is.
√2
√3/2
√(2/3)
√3
If x1,x2,x3 and y1,y2,y3, are in G.P .Where common ratio is r,then point P (x1,y1), Q (x2,y2), R (x3,y3) are on.
A straight line
an ellipse
a circle
Vertices of a triangle
The length of perpendicular from (3,1) to line 4x + 3y + 20 = 0 is.
6
7
3
8
If line passing through (4,3) and (2,k) is perpendicular to y = 2x + 3 then k =
-1
-4
4
The gradient of line which cuts equal intercepts with coordinate axis is.
0
Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
None of these
The equation of line which passes through (1,-2) and cuts equal intercepts with coordinate axis is.
x + y = 1
x - y = 1
x + y + 1 = 0
x - y - 2 = 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
