The distance between lines 3x + 4y = 9 and 6x + 8y = 15 is.
3/2
3/10
6
2/3
The locus of a point which divides the line joining (1,0) and (2 cos Θ , 2 sin Θ ) internally in the ratio 2 : 3 is
A straight line
A circle
A parabola
An ellipse
If a point p is at a distance of 5 units on one of the lines y - √3 | x | = 2 from their intersection point, then the foot of perpendicular drawn from p on the bisector of the angle between lines is
(It depends on that the point p lies on which line)
The equation of sides of a quadrilateral AB,BC,CD, and DA are x + 2y = 3, x = 1, x - 3y = 4,5x + y + 12 = 0, the angle between diagonals AC and AD is
If lines x + 2ay + a = 0, x + 3by + b = 0 and x + 4cy + c = 0 are concurrent,then a,b,c, are in
A.P
G.P
H.P
None of these
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
If in the equation y - y1 = m (x - x1) , m and x , remain constant different lines are drawn for different values of y1 , then.
Lines are concurrent
A set of parallel lines is obtained
Only one line is possible
The equation of lines passing through (3,2) and perpendicular to y = x is.
x + y = 1
x - y =1
The opposite vertices of a square are (1,2) and (3,8) , then equation of diagonal passing through (1,2) is
3x - y - 1 = 0
3x - y + 1 = 0
y + 3x - 1 = 0
y + 3x + 1 = 0
Line L is perpendicular to line 5x - y = 1.The area of triangle formed by coordinates axis and line is 5 sq . units.Then its equation is
x + y = √2
x + 5y = ± 5 √2
x + 5y = -5
x + 5y = - √2
