If A=(2, -3, 7), B = (-1, 4, -5) and P is a point
on the line AB such that `AP : BP = 3 : 2` then P
has the coordinates

If A=(2,3), B=(-2-5), C=(-4,6) and if P is a point on BC such that AP bisects the angle A, then find P.

P is a point on the line joining A (4, 3) and B (-2, 6) such that 5AP = 2BP. Find the coordinates of P.

A(1, 4) and B (4, 8) are two points. P is a point on AB such that AP=AB+BP . If AP=10 , find the coordinates of P .

Given a triangle ABC in which A = (4, -4) B = (0,5) and C = (5, 10). A point P lies on BC such that BP : PC = 3 : 2. Find the length of line segment AP.

Let P(2,-1,4) and Q(4,3,2) are two points and as point R on PQ is such that 3PQ=5QR , then the coordinates of R are

P(1, -2) is a point on the line segment A(3, -6) and B(x, y) such that AP:PB is equal to 2:3 . Find the coordinates of B.

A line passes through the point A(2, 3, 5) and is parallel to the vector 2hati-hatj+hatk . If P is a point on this line such that AP=2sqrt6 , then the coordinates of point P can be

If P(3,7) is a point on the line joining A(1,1) and B(6,16), then the harmonic conjugate Q of point P has the coordinates

A(4,3),B(6,5)and C(5,-2) are the vertices of a DeltaABC, if P is a point on BC such that BP:PC =2:3. Find the co-ordinates of P and then prove then ar (DeltaABP):ar(DeltaACP)=2:3.

The algebraic sum of distances of the line ax + by + 2 = 0 from (1,2), (2,1) and (3,5) is zero and the lines bx - ay + 4 = 0 and 3x + 4y + 5=0 cut the coordinate axes at concyclic points. Then (a) a+b=-2/7 (b) area of triangle formed by the line ax+by+2=0 with coordinate axes is 14/5 (c) line ax+by+3=0 always passes through the point (-1,1) (d) max {a,b}=5/7