The gradient of line which cuts equal intercepts with coordinate axis is.
-1
0
2
√3
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
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 coordinates of foot of perpendicular from (2,3 ) to the line x + y -11 = 0 are
(-6,5)
(5,6)
(-5,6)
(6,5)
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
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)
If lines 3y + 4x = 1 , y = x + 5 and 5y + bx = 3 are concurrent,then the value of b is.
1
3
6
If lines 3x - 4y - 13 = 0,8x - 11y - 33 = 0 and 2x - 3y + λ = 0 are concurrent , λ =
7
-7
5
-5
Lines 15x - 18y + 1 = 0 , 12x +10 y - 3 = 0 and 6x + 66y - 11 = 0 are
Concurrent
Perpendicular
Parallel
None of these
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