Let p and q be positive integers and p > q.
Statement 1 : The equation `{::}_()^pC_qx^2−{::}_()^(p+1)C_qx+{::}_()^pC_(q−1)=0` has rational roots.
Statement 2 : `{::}_()^pC_q` and `{::}_()^pC_(q-1)` are rational numbers.
| A. |
Statement 1 is true, statement 2 is true, statement 2 is the correct explanation for statement 1. |
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| B. |
Statement 1 is true, statement 2 is true, statement 2 is not the correct explanation for statement 1. |
| C. |
Statement 1 is true, statement 2 is false. |
| D. |
Statement 1 is false, statement 2 is true. |