Pair of Straigh...

The straight lines x + y = 0 , 3x - y – 4 = 0 , x + 3y – 4 = 0 form a triangle which is

The equation of the straight line passing through the intersection of the lines x - 2y = 1 and x + 3y = 2, and parallel to 3x + 4y = 0 is

The distance between the parallel lines given by (x + 7y)² + 4√2 (x + 7y) − 42 = 0 is

The extremities of diagonal of a parallelogram are the points (3, − 4) and (− 6, 5). If the third vertex is (− 2, 1), then the fourth vertex will be

The distance of the point (α,β) from X axis is

1. α

2.|β|

3.|α|

4.none of these.

Slope of a line is not defined if the line is

The image of the point (α,β) with respect to the line x = y is

The following question has four choices out of which ONLY ONE is correct.

Consider a line pair ax² + 3xy - 2y² - 5x + 5y + c = 0 representing perpendicular lines intersecting each other at C and forming a triangle ABC with the x-axis.

If the circle x² + y² - 4y + k = 0 is orthogonal with the circumcircle of the triangle ABC, find the value of k.

The point which divides the joint of ( 1, 2 ) and ( 3,4 ) externally in the ratio 1 : 1 .

Above x-axis, the equation of the common tangent to the circle (x - 3)² + y² = 9 and parabola y² = 4x is