If P (a,b) lies on 3x + 2y = 13 and point Q (b,a) lies on 4x - y = 5 then the equation of PQ is
x - y = 5
x + y = 5
x + y = -5
x - y = -5
The angle between lines y = (2 - √3) x + 5 and y = (2 + √3) x - 7 is.
30o
45o
-60o
90o
The coordinates of foot of perpendicular from origin to the line 3x+4y -5 = 0 is
The equation of bisector of obtuse angle of x - 2y + 4 = 0 and 4x - 3y + 2 = 0 is.
(4 - √5 ) x - (3 - 2 √5) y + (2 - 4 √5 ) = 0
(4 + √5) x + (3 - 2 √5 )y + (2 - 4 √5) = 0
(4 - √5) x + (3 + 2 √5) y + (2 - 4 √5) = 0
(4 - √5) x - (3 + 2 √5 ) y - (2 - 4 √5 ) = 0
If lines 3x - 4y - 13 = 0,8x - 11y - 33 = 0 and 2x - 3y + λ = 0 are concurrent , λ =
7
-7
5
-5
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
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)
The equation of a line passing through the intersection point of lines x - 2y = 1 and x + 3y = 2 and parallel to lines 3x + 4y = 0 is.
3x + 4y + 5 = 0
3x + 4y - 10 = 0
3x + 4y - 5 = 0
3x + 4y + 6 = 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
