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

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

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

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

lf from point P(4,4) perpendiculars to the straight lines 3x+4y+5=0 and y=mx+7 meet at Q and R area of triangle PQR is maximum, then m is equal to

Find the equation to the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10

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 O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such that x y >0a n dx+y<1, then (a) P lies either inside the triangle O A B or in the third quadrant. (b) P cannot lie inside the triangle O A B (c) P lies inside the triangle O A B (d) P lies in the first quadrant only

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=5 , then the equation of the line PQ is

The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,a) lies on the straight line 4x-y=5 , then the equation of the line PQ is

What is the equation of the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10 ?