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 slope of the line which is perpendicular to the line joining the point (0, 0) and (-1, 1) is
1
-1
1/2
-2
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 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 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
If line passing through (4,3) and (2,k) is perpendicular to y = 2x + 3 then k =
-4
4
If lines 2x + 3ay - 1 = 0 and 3x + 4y + 1 = 0 are mutually perpendicular , then a =
2
-1/2
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
The length of perpendicular from (3,1) to line 4x + 3y + 20 = 0 is.
6
7
3
8
The equation of lines passing through (3,2) and perpendicular to y = x is.
x - y =1
