The equation of line joining points (-5,-6) and (3,10) is
x - 2y = 4
2x - y + 4 = 0
2x + y = 4
2x + y + 4 = 0
The base of equilateral triangle is x + y = 2 and its vertex is (2,-1) , the length of side of triangle is.
√2
√3/2
√(2/3)
√3
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 line joining points A (2,0) and B (3,1) is rotated about A in anti - clock wise direction through 15o.The equation of line in new position is.
√3 x - y - 2 √3 = 0
x - √3 y - 2 = 0
√3 x + y - 2 √3 = 0
x + √3 y - 2 = 0
The equation of a diagonal passing through the origin of a quadrilateral formed by line x = 0, y = 0, x + y = 1 and 6x + y = 3 is
2x - 3y = 0
3x - 2y = 0
2x + 3y = 0
3x + 2y = 0
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
Lines 7x - 8y + 5 = 0 , 3x - 4y + 5 = 0 and 4x + 5y + k = 0 are concurrent of k =
-45
44
54
-54
The equation of line passing through (c , d) and parallel to ax + by + c = 0 is
a (x +c ) + b ( y + d) = 0
a (x + c) - b (y + d) = 0
a (x - c) + b (y + d) = 0
a (x - c) - b (y - d) = 0
The equation of a line which is passing through (-3,2) and cuts intercepts on axis of opposite sign, is
x - y + 5 =0
x + y - 5 = 0
x - y - 5 = 0
x + y + 5 = 0
Lines y = 2x and x = 2y are
Parallel
Perpendicular
Equally inclined with axis
Congruent
