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DIRECTIONS : In the question number $19$ and $20$, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option out of the following :
Assertion (A) : $a, b, c$ are in A.P. if and only if $2b = a + c$.
Reason (R) : The sum of first $n$ odd natural numbers is $n^2$.
Assertion (A) : $a, b, c$ are in A.P. if and only if $2b = a + c$.
Reason (R) : The sum of first $n$ odd natural numbers is $n^2$.
- (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (b)Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- (c)Assertion (A) is true but Reason (R) is false.
- (d)Assertion (A) is false but Reason (R) is true.
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(b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).