True or False:
If A and B are fixed points and P is a variable point such that |PA|+|PB| = 2a, where a is a fixed real such that `agt1/2 |AB|`, then locus of P is an ellipse.

If A and B are two points and P is the midpoint of AB. Write coordinates 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.

If the coordinates of a vartiable point P be (t+(1)/(t), t-(1)/(t)) , where t is the variable quantity, then the locus of P is

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

True or false If A and B are independent events, then P(A'cupB)=1-P(A)P(B') .

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)

A point P is taken on 'L' such that 2/(OP) = 1/(OA) +1/(OB) , then the locus of P is

A rod AB of length 15 cm rests in between two co-ordinate axes in such a way that the end point A lies on the x-axis and end point B lies on y-axis. A point P (x, y) is taken on the rod in such a way that AP = 6 cm. Prove that the locus of P is an ellipse.

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

True or false If A and B are two events such that P(A)>0 and P(A)+P(B)>1, then P(B/A)ge1-(P(B'))/(P(A)) .