Let `A(2,0),B(-2,0),P(x,y)` such that `|__A P B=pi/4` then the maximum area of the `Delta APB` is (in square units)

A (3, 4) and B(5, -2) are two points and P is a point such that PA=PB . If the area of triangle PAB is 10 square unit, what are the coordinates of P ?

The verticles of a triangle are (0,0) , (x cosx) and (sin^(3)x,0) , where 0ltxlt(pi)/(2) . The maximum area for such a triangle in sq units is

Let two points be A(1,-1) and B(0, 2) . If a point P(x', y') be such that the area of DeltaPAB = 5 sq. units and it lies on the line, 3x + y - 4lambda =0 , then a value of lambda is:

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

Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X be any point on the are POQ of this parabola, where O is the vertex of this parabola, such that the area of Delta PXQ is maximum. Then this maximum area (in square units) is (25k)/(4) . The value of k is

Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X be any point on the are POQ of this parabola, where O is the vertex of this parabola, such that the area of Delta PXQ is maximum. Then this maximum area (in square units) is (25k)/(4) . The value of k is

Let two points be A(1,-1) and B(0,2) . If a point P(x',y') be such that the area of DeltaPAB = 5sq.unit and it lies on the line 3x+y-4lambda=0 then value of lambda is

Let A(-2,2) and B(2,-2) be two points AB subtends an angle of 45^(@) at any points P in the plane in such a way that area of Delta PAB is 8 square unit,then number of possibe position(s) of P is

Let A (-2,-2)and B (2,2) be two points AB subtends an angle of 45^@ at any points P in the plane in such a way that area of Delta PAB is 8 square unit, then number of possibe position(s) of P is