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

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 (-(12)/5,(17)/5) (b) (-(84)/5,(13)/5) ((31)/7,(31)/7) (d) (,0)

Consider the point A= (3, 4), B(7, 13) . If 'P' be a point on the line y = x such that PA +PB is minimum then coordinates of P is (A) (13/7,13,7) (B) (23/7,23/7) (C) (31/7,31/7) (D) (33/7,33/7)

i. Find the coordinates of the point which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) . (ii) Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

Let P be the point (1, 0) and Q be a point on the locus y^2=8x . The locus of the midpoint of P Q is (a) y^2+4x+2=0 (b) y^2-4x+2=0 (c) x^2-4y+2=0 (d) x^2+4y+2=0

Consider the line 3x – 4y + 2 = 0 and the point (2, -3) Find the distance of the point from the line.

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

A ray of light passing through the point A(2, 3) reflected at a point B on line x + y = 0 and then passes through (5, 3). Then the coordinates of B are

Consider point A(6, 30), point B(24, 6) and line AB: 4x+3y = 114. Point P(0, lambda) is a point on y-axis such that 0 lt lambda lt 38 " and point " Q(0, lambda) is a point on y-axis such that lambda gt 38 . For all positions of pont P, angle APB is maximum when point P is

Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=0 , and the perpendicular bisector of P Q be the line x-y+1=0 . Then the coordinates of P are (0,-3) (b) (0,3) ((72)/(25),(21)/(35)) (d) (-(72)/(25),(21)/(25))