Straight Line a...

A straight line through P(1, 2) is such that its intercept between the axes is bisected at P. Its equation is

If the equations kx² - 2xy - y² - 2x + 2y = 0 represents a pair of lines, then k is equal to

The equation of a line passing through (-2, -4) and perpendicular to line 3x - y + 5 = 0 is

If the point (a, a) falls between the line |x + y|= 4, then

The equation of the straight line perpendicular to 5x - 2y = 7 and passing through the point of intersection of the lines 2x + 3y = 1 and 3x + 4y = 6, is

If PM is the perpendicular from P(2, 3) onto the line x + y = 3, then the coordinates of M are

The equation of line bisecting perpendicularly the segment joining the points (- 4, 6) and (8, 8), is

If the slopes of one of the lines given by ax² + 2hxy + by² = 0 is 5 times the other, then

Two of the lines represented by the equation ay⁴ + bxy³ + cx² y² + dx³ y + ex⁴ = 0 will be perpendicular then