Question

Assertion : The opposite sides of a parallelogram are a+b and 3a – 2b. Then the ratio a: b = 3:2.

Reason : The opposite sides of a parallelogram are equal.

Chose from the following alternatives:

• A. Both Assertion and Reason are true and reason is required to solve the assertion.
• B. Both Assertion and Reason are true but Reason is not required to solve the Assertion.
• C. Assertion is false, Reason is true.
• D. Both Assertion and Reason are false.

Answer 1

The correct option is A

Both Assertion and Reason are true and reason is required to solve the assertion.

Since the opposite sides of a parallelogram are equal, the reason is true.

So, we can equate the sides to get a and b.

$\Rightarrow a+b=3a–2b$

$\Rightarrow 3a–a=b+2b$

$\Rightarrow 2a=3b$

$\Rightarrow \frac{a}{b}=\frac{3}{2}$

Since we used the reason to solve the assertion.