Find a point P on the line `3x+2y+10=0` such that `|PA - PB| `is minimum where A is (4,2) and B is (2,4)

The coordinates of the point P on the line 2x + 3y +1=0 such that |PA-PB| is maximum where A is (2,0) and B is (0,2) is

The locus of the moving point P such that 2PA=3PB , where A is (0,0) and B is (4,-3), is

Find the point P on the circle x^2+y^2 -4x-6y+9=0 such that (i) /_POX is minimum (ii) OP is maximum, where O is the origin and OX is the x-axis.

Statement I Let A-= (0,1) and B -= (2,0) and P be a point on the line 4x+3y+9=0 then the co - ordinates of P such that |PA -PB| is maximum is (-12/5,17/5) Statement II |PA - PB | le |AB|

Consider the points A(0,1)a n dB(2,0),a n dP be a point on the line 4x+3y+9=0 . The coordinates of P such that |P A-P B| is maximum are

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=0, then :

Determine the ratio in which the line 2x+y-4 =0 divides the line segment joining the points A(2,-2) and B(3,7).

Find a point on the parabola y =(x-3)^2 , where the tangent is parallel to the line joining (3,0) and (4,1).

Find the coordinates of the those point on the line 3x+ 2y = 5 which are equisdistant from the lines 4x+ 3y - 7 = 0 and 2y - 5 = 0