| Assertion (A): The value of \[q=\pm 2,\]if \[\text{x}=\text{3},\] \[y=1\]is the solution of the line \[2x+y-{{q}^{2}}-3=0\] |
| Reason (R): The solution of the line will satisfy the equation of the line. |
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 but 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.
Correct Answer: A
Solution :
| [a] As \[x=3,\,\,y=1\]is the solution of |
| \[2x+y-{{q}^{2}}-3=0\] |
| \[2\times 3+1-{{q}^{2}}-3=0\] |
| \[4-{{q}^{2}}=0\] |
| \[{{q}^{2}}+4=0\] |
| \[q=\pm 2\] |
| So. both assertion and reason are correct and reason explains assertion. |
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