If A(1,2) and B(3,8) be two given points, find a point P such that |PA| = |PB| and `trianglePAB = 10`.

If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) respectively. Find the coordinates of any point P , if PA = PB and area of PAB = 10 sq. units.

The line joining the points A (- 3,- 10) and B (- 2, 6) is divided by the point P such that 5 PB = AB. Find the co-ordinates of P.

AB is a variable line moving between the axes in such a way that A lies on x-axis, and B on y-axis. If P is variable point on AB such that PA = b, PB = a and AB =a + b, find the equation of the locus of P.

Plot the points P(1,0),Q(4,0), and S(1,3). Find the coordinates of the point R such that PQRS is a square.

Two charges of +2xx10^-8C and -10^-8C are placed at points A and B respectively. Find the resultant force on a charge of 1 muC held at point P, such that AP = 10 cm, BP = 5cm angle angleAPB = 90^@

If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a point P which moves in such a way that 3P A=2P Bdot

If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms of unit vectors hati and hatj also, find distance between point P and Q . What is the unit vector in the direction of PQ ?

If A and B be the points (3, 4, 5) and (-1,3, -7), respectively, find the equation of the set of points P such that PA^2 + PB^2 = k^2 , where k is a constant.

If A and B are the points (3, 4, 5) and (-1, 3,-7) respectively then theset of points Psuch that PA ^(2) + PB ^(2) = K ^(2), where K is a constant lie on a proper sphere if:

If A and B be the points (3,4,5) and (-1,3,-7) respectively, find the equation of the set of point P such that PA^2+PB^2=k^2 , where k is constant.