| 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] A quadratic polynomial having 4 and 3 as zeroes is \[{{x}^{2}}-7x-12\] |
| Reason [R] The quadratic polynomial having a and P as zeroes is given by |
| \[p\left( x \right)={{x}^{2}}-\left( \alpha +\beta \right)x+\alpha \,.\,\beta \] |
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 :
| Let \[\alpha +4\] and \[\beta =3\] |
| Then \[\alpha +\beta =7\]and \[\alpha \,.\,\beta =12\] |
| \[\therefore\] Required polynomial \[={{x}^{2}}\] |
| \[-\left( \alpha +\beta \right)x+\alpha \,.\,\beta ={{x}^{2}}-7x-12\] |
| So, that Assertion is true. |
| Both the Assertion and Reason are true and Reason is a correct explanation of Assertion. |
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