| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion [A] The value of \[q=\pm 2\] if \[x=3,\,y=1\] 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) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is False.
D) A is false; R is true.
Correct Answer: A
Solution :
| As, x = 3, y = 1 is the solution of |
| \[\Rightarrow \,\,\,2x+y-{{q}^{2}}-3=0\] |
| \[\Rightarrow \,\,2\times 3+1-{{q}^{2}}-3=0\Rightarrow 4-{{q}^{2}}=0\] |
| \[\Rightarrow \,\,\,\,{{q}^{2}}-4=0\,\,\,\Rightarrow \,q=\pm 2\] |
| Both Assertion [A] and Reason [R] are true and Reason [R] is the correct explanation of Assertion [A]. |
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