A and B are two fixed points. Draw the locus of a point P such that angle `APB = 90^(@)`.

A and B are two fixed points. The locus of a point P such that angleAPB is a right angle, is:

If A(1, 1) and B (-2, 3) are two fixed points, find the locus of a point P so that area of DeltaPAB is 9 units.

Let O(0,0) and A(0, 1) be two fixed points.Then the locus of a point P such that the perimeter of DeltaAOP is 4, is

If A(-1,1)a n d\ B(2,3) are two fixed points, find the locus of a point P so that the area of Delta P A B=8s qdot units.

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(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

If A and B are two fixed points and P is a variable point such that PA + PB = 4 , the locus of P is

A (a,0) , B (-a,0) are two points . If a point P moves such that anglePAB - anglePBA = pi//2 then find the locus of P.

A (-1,0) and B (2,0) are two given points. A point M is moving in such a way that the angle B in the triangle AMB remains twice as large as the angle A. Show that the locus of the point M is a hyperbola. Fnd the eccentricity of the hyperbola.

A and B are two fixed points and P moves so that PA=nPB. Show that locus of P is a circle and for different values of n all the circles have a common radical axis.