`P(3,1),Q(6,5)` and `R(x,y)` are three points such that `PRQ` is a right angle and the area of `DeltaRQP` is 7 sq.unit. Find the number of such points R.

Given that P(3,1),Q(6. 5), and R(x , y) are three points such that the angle P R Q is a right angle and the area of R Q P is 7, find the number of such points Rdot

Given that P(3,1),Q(6. 5), and R(x , y) are three points such that the angle P Q R is a right angle and the area of R Q P is 7, find the value of 4x-3y+5

If the line segment joining P(2, 3) and Q(5, 7) subtends a right angle at R(x, y) and the area of DeltaPQR=2 sq. units, then the maximum number of such points R is xy - plane are

If P ,Q and R are three collinear points such that vec P Q= vec a and vec Q R = vec bdot Find the vector vec P R .

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. Area of the triangle ABC is (in sq. units)

P, Q and R are three collinear points. P and Q are (3, 4) and (7, 7) respectively, and PR =10 units. Find the coordinates of R.

In DeltaABC, A=(1,2), B=(5, 5), angleACB=90^(0) . If area of DeltaABC is to be 6.5 sq. units, then the possible number of points for C is

If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) and S(-3,\ -2) be four points in a plane, show that P Q R S is a rhombus but not a square. Find the area of the rhombus.

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(0, 3, -2), Q(3, 7, -1) and R(1, -3, -1) are 3 given points. Find vec (PQ)