Let `O-=(0,0),A-=(0,4),B-=(6,0)dot` Let `P` be a moving point such that the area of triangle `P O A` is two times the area of triangle `P O B` . The locus of `P` will be a straight line whose equation can be

Let 0-=(0,0),A-=(0,4),B-=(6,0)dot Let P be a moving point such that the area of triangle P O A is two times the area of triangle P O B . The locus of P will be a straight line whose equation can be x+3y=0 (b) x+2y=0 2x-3y=0 (d) 3y-x=0

if P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9 then the area of triangle OPQ is

The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) respectively. A point P moves so that the area of Delta POA is always twice the area of Delta POB . Find the equation to both parts of the locus of P.

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

Let a,b,c be the sides of triangle whose perimeter is P and area is A, then

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 variable line through the point P(2,1) meets the axes at A an d B . Find the locus of the centroid of triangle O A B (where O is the origin).

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

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

Let Delta denote the area of the DeltaABCand Delta p be the area of its pedal triangle. If Delta=k Deltap, then k is equal to