If the mid-point (x,y) of the line joining (3,4) and (p,7) lie on `2x + 2y+ 1=0` then what will be the value of P ?

If the mid-point (x,y) of the line joining (3,4) and (p,7) lies on 2x+2y+1=0 , then what will be the value of p?

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

P and Q trisect the line segment joining the points (2,1) and (5,-8) . If the point P lies on 2x-y+k=0, then find the value of k.

If P ((a)/(3),(b)/(2)) is the mid - point of the line segment joining A(-4,3) and B(-2,4) then (a,b) is

If each of the points (x,, 4), (-2, y,) lie on the-line joining the points (2, -1) and (5,-3) then the point P( x_(1), y_(1) ) lies on the line

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

If sum of the perpendicular distances of a variable point P(x, y) from the lines x + y - 5 = 0 " and " 3x - 2y + 6 = 0 is always 10. Show that P must move on a line.

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then

Let (x,y) be any point on the parabola y^2 = 4x . Let P be the point that divides the line segment from (0,0) and (x,y) n the ratio 1:3. Then the locus of P is :

If P ((a)/(2),(b)/(2)) is the mid point of the line segement joining A(4-3) and B(-2,4) them (a,b) is .......