Which of the following is a parallel line to 3 x + 4 y + 5 = 0?
4 x + 3 y + 6 = 0
3 x - 4 y + 6 = 0
4 x - 3 y + 9 = 0
3 x + 4 y + 6 = 0
The centre of the circle x2 + y2 + 2 x - 4 y - 4 = 0 is
(2, 4)
(-1, 2)
(1, 2)
(-2, -4)
When h2 = a b the angle between pair of straight lines a x2 + 2 h x y + 2 h x y + b y2 = 0 is.
π/4
π/6
π/2
0o
If the pair of straight lines given by a x2 + 2 h xy + b y2 = 0 are perpendicular then
a b = 0
a + b = 0
a - b = 0
a = 0
The three straight lines a x +b y = c, b x + c y = a and c x + a y = b are collinear, if
b + c = a
c + a = b
a + b + c = 0
a + b = c
If 2 x2 +k x y + 4 y2 = 0 represents a pair of parallel lines then k =
± 32
± 2 √2
± 4√2
± 8
If the straight lines a1x+b1y + c1 = 0 and a2x + b2y + c2 = 0 are perpendicular, then
a1a2 = -b1b2
The slope of the straight line 2 x -3 y + 1 = 0 is
-2/3
-3/2
2/3
3/2
The length of the diameter of a circle with centre (2,1) and passing through the point (-2,1) is
4
8
4√5
2
The equation of a line through the point (1,2) whose distance from the point (3,1) has the greatest value, is
y = 2 x
y = x + 1
x + 2 y = 5
y = x + 7
