If the straight line `x/a + y/b = 1` passes through the points (8,-9) and (12,-15), find the values of a and b.

A light beam, emanating from the point A (3, 10) reflects from the straight line 2x+y-6=0 and then passes through the point B(4, 3) . Find the equations of the reflected beams.

The straight lines x+2y-9=0,3x+5y-5=0 , and a x+b y-1=0 are concurrent, if the straight line 35 x-22 y+1=0 passes through the point (a , b) (b) (b ,a) (-a ,-b) (d) none of these

If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

The line 7x-9y-19 = 0 is perpendicular to the line through the points (h, 3) and (4, 1). Find the value of h.

Find the equation of the straight line which passes through the point (2,-3) and is (i) parallel to the X-axis , perpendicular to the X - axis

Find the gradient of a straight line which is passes through the point (-3. 6) and the mid point of (4,-5) and (-2, 9)

Find the equation of the straight line, which passes through the point (1, 4) and is such that the segment of the line intercepted between the axes is divided by the point in the ratio 1: 2.

Find the equation of a straight line passing through the point (4, 5) and equally inclined to the lines 3x = 4y + 7 and 5y = 12x+6 .

In a plane there are 37 straight lines, of which 13 passes through the point A and 11 passes through point B. Besides, no three lines passes through one point no line passes through both points A and B and no two are parallel, then find the number of points of intersection of the straight line.

Find the equations of the straight line passing through the point (1, 2, - 4) and is perpendicular to the lines : (x-8)/3=(y+19)/-16=(z-10)/7 and (x-15)/3=(y-29)/8=(z-5)/-5 .