If the area of a triangle is 5 square units, then the area of the triangle when the origin is shifted to (2,-1) is

2 sq. units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 sq. units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 sq. units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 sq. units

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 5 sq. units
The distance between two points, the area of a triangle remains invariant under the transformation of axes ( translation or rotation or both).
Here in the problem only translation (shifting of origin) is done so the area of the triangle is going to be same as before.
So the area of the triangle will be $5$ sq. units.

Suggest Corrections

Similar questions

Q. What is the area (in sq. units) of the triangle if the area of each square is 1 square unit?

If the area of parallelogram $A B C D = 70$ sq. units, then the area of $△ A B E =$ ___ sq. units.

In a right triangle $△$ ABC right angled at B, BD is a perpendicular, dropped onto the hypotenuse. If $A C = 2 A B$ and area of $△$ ABC $= 5$ sq. units, what is the area of $△$ ABD?

$A D$ is the median of the $△ A B C$ . If the area of $△ A B D = 10$ sq. units, find the area of $△ A B C$

Q. If the centroid of a triangle is (1, 4) and two of its vertices are (4, −3) and (−9, 7), then the area of the triangle is

(a) 183 sq. units

(b)

\frac{183}{2}

sq. units

(c) 366 sq. units

(d)

\frac{183}{4}

sq. units

Join BYJU'S Learning Program