The equation of the line passing through the point of intersection of the lines x - 3 y + 2 = 0 and 2 x + 5 y - 7 = 0 and perpendicular to the line 3 x + 2 y + 5 = 0 is.
2 x - 3 y + 1 = 0
6 x - 9 y + 11 = 0
2 x - 3 y + 5 = 0
3 x - 2 y + 1 = 0
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
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 radius of the circle x2 + y2 - 2 x + 4 y - 4 = 0 is
1
3
If 2 x2 +k x y + 4 y2 = 0 represents a pair of parallel lines then k =
± 32
± 2 √2
± 4√2
± 8
Equation of two parallel straight lines differ by
x term
y term
constant term
xy term
If 2 x2 + 3 y x - c y2 = 0 represent a pair of perpendicular lines then c =
-2
-1/2
1/2
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 equation of the straight line containing the point (-2,1) and parallel to 4 x - 2 y = 3 is
y = 2 x + 5
y = 2 x - 1
y = x - 2
y = 1/2 x
If the straight lines a1x+b1y + c1 = 0 and a2x + b2y + c2 = 0 are perpendicular, then
a1a2 = -b1b2
