Let A(h, k), B(1, 1), and C(2, 1) be the...

Let A(h, k), B(1, 1), and C(2, 1) be the vertices of a right- angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by

A

{1,3}

B

{0,2}

C

{-1,3}

D

{-3,2}

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Let A (0, 0) and B (8, 0) be two vertices of a right angled triangle whose hypotenuse is BC. If the cirumcentre is (4, 2), then the point C is

Are the points A(3,6,9), B(10,20,30) and C(25,-41,5) the vertices of a right angled triangle?

Given A(1,1,1),B(1,2,3),C(2,3,1) are the vertices of triangleABC a triangle. Find the area of the triangleABC .

Verify the following: (0,7,10) , (-1,6,6) and (-4,9,6) are the vertices of a right angled triangle.

Let A (0,7,10), B (-1,6,6,) and C (-4,9,6) are the vertices of a triangle.Show that it is a right angle triangle.

The angle of a right triangle is 30^@ and its hypotenuse is 4cm. What is its area?

Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points Find the area of the triangle ABC.

Let A (0,4,1), B(2,3,-1) and C(4,5,0) be the vertices of a DeltaABC .Prove that DeltaABC is isosceles and right angled

One of the angle of a right angled triangle is 30^@ .Let the length of smaller side be 6 cm then find its hypotenuse ?