The centre of the circle x2 + y2 + 2 x - 4 y - 4 = 0 is
(2, 4)
(-1, 2)
(1, 2)
(-2, -4)
The equation 12 x2 + 7 x y + a y2 + 12 x - y + 3 = 0 represents a pair of perpendicular lines. Then, the value of 'a' is.
7/2
-19
-12
12
If 2 x2 + 3 y x - c y2 = 0 represent a pair of perpendicular lines then c =
-2
-1/2
2
1/2
If a line with Y - intercept 2, is perpendicular to the line 3 x - 2 y = 6, then its x - intercept is
-4
1
3
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
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
Equation of two parallel straight lines differ by
x term
y term
constant term
xy term
The y- intercept of the straight line 3 x + 2 y -1 = 0 is
Which of the following is the equation of a straight line that is neither parallel nor perpendicular to the straight line given by x + y = 0.
y = x
y - x + 2 = 0
2 y = 4 x + 1
y + x + 2 = 0
