The line joining the points (2m + 2 , 2m) and (2m + 1, 3) passes through (m +1 , 1) , if the values of m are `"_______"`.

The line mx + ny = 1 passes through the points (1, 2) and (2, 1). What is the value of m?

The line mx+ny=1 passes through the points (1, 2) and (2, 1). What is the value of m ?

The mid-point of the segment joining (3m, 6) and (-4, 3n) is (1, 2m, -1). Find the values of m and n.

If the straight line joining the points (4, -3, 2) and (3, -1, 5) is perpendicular to the straight line joining the points (m, -2, 1) and (7, 3, -2), then the value of m is -

The slope of the line y=2020 is m_(1) and the slope of the line joining the points (-5,1) and (3,-5) is m_(2), and the x-intercept of line 2x-3y+5=0 is a , then the value of (m_(1)times m_(2))^(a)=

The line (3x)/5 - (2y)/3 + 1 = 0 contains the point (m, 2m-1) , calculate the value of m.

Show that P (3,m -5) is a point of trisection of the line segment joining the points A (4,-2) and B (1, 4). Hence, find the value of 'm'.

Show that the line (2 + m) x + (3 + 2m ) y - 2 (2 + 3m ) = 0 passes through a fixed point for all valuse of the parameter m . Find the coordinates of the point .

If m_(1)&m_(2) are the slopes of the tangents to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 which passes through the point (4,2), find the value of (i)m_(1)+m_(2)&(ii)m_(2)m_(2)