Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
None of these
A straight line makes angle 135o with x - axis and cut y - axis at distance -5 from origin.The equation of line is.
2x + y + 5 = 0
x + 2y + 3 = 0
x + y + 5 = 0
x + y + z = 0
If lines 3x - 4y - 13 = 0,8x - 11y - 33 = 0 and 2x - 3y + λ = 0 are concurrent , λ =
7
-7
5
-5
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
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
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
If lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are concurrent,then a,b,c, are in
A.P
G.P
H.P
If line passing through (4,3) and (2,k) is perpendicular to y = 2x + 3 then k =
-1
1
-4
4
If P (a,b) lies on 3x + 2y = 13 and point Q (b,a) lies on ax - y = 5 then the equation of PQ is
x - y = 5
x + y = 5
x + y = -5
x - y = -5
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
