Number of positions of P such `/_APB= 90^@` and area of triangle is 5. Where `A=(1,2), B=(1,6)`

Find k if the area of triangle is 11/2 sq.units,where P=(k,1),Q=(4,2),R=(-6,3)

Find the locus of the point P(x,y) such that the area of the triangle PAB is 5, where A is the point (1,-1) and B is the point (5,2).

If A(1,2),B(-4,2), then the number of points P in the plane such that /_APB=(pi)/(2) and area of /_APB is 6sq. units is

A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the angle APB is 60^@ and the area of the triangle APB is maximum, then which of the following is (aré) true?

The locus of P such that area of Delta PAB is 12 square units where A = (2, 3 ) and B= ( - 4, 5 ) is

A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the angle APB is 60^@ and the area of the triangle APB is maximum, then which of the following is (aré) true? a) P lies on the straight line 3x+4y= 36 b) P lies on any line perpendicular to AB