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If the area of the triangle formed by th...

If the area of the triangle formed by the points `(2a ,b)(a+b ,2b+a),` and `(2b ,2a)` is `2qdotu n i t s ,` then the area of the triangle whose vertices are `(a+b ,a-b),(3b-a ,b+3a),` and `(3a-b ,3b-a)` will be_____

Text Solution

Verified by Experts

The correct Answer is:
8

We know that the area of the triangle formed by joining the midpoints of any triangle is one-fourth of that triangle. Therefore,
Required area `=8`
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