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Solution


Q.

The roots of the quadratic equation x² + 5x – (a + 1)(a + 6) = 0, where a is a constant, are:

 

(i) (a + 1)  (ii) –(a + 6)  (iii) (a + 6)  (iv) –(a + 1)

 

Choose the correct option from the following:
1 (i) and (iii)  
2 (i) and (ii)  
3 (iii) and (iv)  
4 (ii) and (iv)  

Ans.

(2)

As observed, the sum of roots is –5 and product of roots is –(a + 1)(a + 6). This is possible only when the roots are (a + 1) and –(a + 6).