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 straight line (x)/(a) + (y)/(b) = 1 is parallel to the line 4x + 3y = 6 and passes through the point of intersection of the lines 2x - y - 1 = 0 and 3x - 4y + 6 = 0 ,find the values of a and b .

If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k.

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

If the straight line joining the point (0, 3) and (5, -2) is a tangent to the curve y(x+1)=c , then the value of c will be-

If the line passing through (4,3)a n d(2,k) is parallel to the line y=2x+3, then find the value of kdot

The angle between the line joining the points (1,-2) , (3,2) and the line x+2y -7 =0 is

Find the ratio in which the points (2, y) divides the line segment joining the points A (-2, 2) and B (3, 7). Also, find the value of y.

The perpendicular distance of the point (-3,4) from the straight line 2x-3y+k=0 is 2sqrt(13) unit , find the value of k .

If the line 2x + y = k passes through the point which divides the line segment joining the points (1 , 1) and (2 ,4) in the ratio 3:2, then k equals

Locus of the image of the point ( 2 ,3) in the line ( 2x - 3y + 4 ) + k ( x - 2y + 3 ) = 0 , k in RR is a _