Home
Class 12
MATHS
The points (0,(8)/(3)), (1,3) and (82,30...

The points `(0,(8)/(3))`, `(1,3)` and `(82,30)` are vertices of

A

an obtuse angled triangle

B

an acute angled triangle

C

a right angled triangle

D

None of the above

Text Solution

Verified by Experts

Since , vertices of a triangle are `(0,8//3)`, `(1,3)` and `(82,30)`
Now, `(1)/(2)|{:(0,8//3,1),(1,3,1),(82,30,1):}|`
`=(1)/(2)[-(8)/(3)(1-82)+1(30-246)]`
`=(1)/(2)[216-216]=0`
`:.` Points are collinear.
Promotional Banner

Similar Questions

Explore conceptually related problems

The points (0,8/3),(1,3) , and (82 ,30) are the vertices of (A) an obtuse-angled triangle (B) an acute-angled triangle (C) a right-angled triangle (D) none of these

Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices of an isosceles triangle.

If points (1,2,3), (0,-4,3), (2,3,5) and (1,-5,-3) are vertices of tetrahedron, then the point where lines joining the mid-points of opposite edges of concurrent is

If the points (3,-4) (1,6) and (-2,3) are the vertices of a triangle ,find its area.

Find the area of the square formed by the points (0, -1), (2, 1) (0, 3) and (-2, 1) as vertices.

Prove that the points (0,0) (3, sqrt(3)) and (3, -sqrt(3)) are the vertices of an equilateral triangle.

Check whether points (3, 3), (-4, -1) and (3, - 5) are the vertices of an isosceles triangle.

Without using distance formula, show that the points (-2, -1), (4, 0), (3, 3) and (-3, 2) is vertices of a parallelogram.

Find the area of atriangle having the points A(1,1,1), B (1,2,3) and C(2,3,1) as its vertices.

Prove that the point (-2,-1),(1,0),(4,3)a n d(1,2) are the vertices of parallel-gram. Is it a rectangle?