If the mid-point of the line joining `(3,\ 4)` and `(k ,\ 7)` is `(x ,\ y)` and `2x+2y+1=0` find the value of `k` .

If the middle point of the line segment joining (3, 4) and (k, 7) is (x, y) and 2x+2y+1=0 , find the value of k .

If the mid-point of the line segment joining the points A(3, 4), B(k, 6) is P(x, y) and x + y - 10 = 0, find the value of k.

If the mid-point of the segment joining the points A(3,4) and B(k,6) is (x,y) and x + y = 10, find the value of k and the length of the line segment AB.

If the mid-point of the segment joining A(x ,\ y+1) and B(x+1,\ y+2) is C(3/2,5/2) , find x ,\ y .

If (a,b) is the mid - point of the line segment joining the points A (10,-6), B(k,4) and a-2b =18, then find the value of k and the distance AB.

The mid-point of the line joining the common points of the line 2x-3y+8=0" and "y^(2)=8x, is

If the line joining the points (5,y) and (4,9) is parallel to the line joining the points (0,5) and (1,7) , find the value of y .

If the lines 2x + y -3 = 0 , 5x + k y - 3 = 0 and 3x - y - 2 = 0 are concurrent, find the value of k.

If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,\ 2) , prove that x+y+2=0 .

The line joining the points A(2,1) and B(3,2) is perpendicular to the line (a^2)x+(a+2)y+2=0. Find the values of a .