The radius of the circle x2 + y2 - 2 x + 4 y - 4 = 0 is
1
2
3
4
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 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
The equation 12x2 + 7xy + ay2 + 12x - y + 3 = 0 represents a pair of perpendicular lines. Then, the value of 'a' is.
7/2
-19
-12
12
Which of the following is the equation of a straight line that is neither parallel not 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
The equation of x- axis is
x = 0
x = 0, y= 0
y = 0
x = 4
The y- intercept of the straight line 3 x + 2 y -1 = 0 is
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 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
