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Statement 1 : If |veca | = 3, |vecb| = 4...

Statement 1 : If `|veca | = 3, |vecb| = 4 and |veca + vecb| = 5`, then `|veca - vecb|=5`.
Statement 2 : The length of the diagonals of a rectangle is the same.

A

Both the statements are true, and Statement 2 is the correct explanation for Statement 1.

B

Both the statements are true, but Statement 2 is not the correct explanation for Statement 1.

C

Statement 1 is true and Statement 2 is false.

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
A
We have adjacnt sides of triangle `|veca|= 3, |vecb|= 4`.
The length of the diagonal is `|veca + vecb|=5`.
Since it satisfies the Pythagoras theorem, `veca bot vecb`.
Hence, the parallelogram is a rectangle.
Hence, the length of the other diagonals is `|veca - vecb|=5`.
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