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
None of these
The coordinates of foot of perpendicular from (2,3 ) to the line x + y -11 = 0 are
(-6,5)
(5,6)
(-5,6)
(6,5)
Distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is.
7/10
1/10
7/5
5/7
If lines 3x - 4y - 13 = 0,8x - 11y - 33 = 0 and 2x - 3y + λ = 0 are concurrent , λ =
7
-7
5
-5
The intersection point of lines and lie on
x - y = 0
(x + y) (a + b) = 2 ab
(x + my) (a + b) = (l + m) ab
The equation of line passing through intersection of lines y = 0 and x = 0 and point (2,2 ) is
y = x
y = x - 1
y = x + 1
y = x + 2
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
The obtuse angle between lines y = -2 and y = x + 2 is.
120o
135o
150o
140o
If two vertices of any triangle are (5,-1) and (-2,3) and if ortho-centre is on the origin,the coordinate of third vertex is
(7, 4 )
(-4 , 7)
(4 , -7)
(-4 , -7)
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
