question_answer

If one root of the equation\[{{x}^{2}}+px+12=0\]is 4, while the equation\[{{x}^{2}}+px+q=0\]has equal roots, then the value of 'q' is

A) \[\frac{49}{4}\]                

B)        12          

C)        3             

D)        4

Correct Answer: A

Solution :

Since, 4 is one of the roots of equation. So, it must satisfy the equation.                                    The other equation iswhose roots are equal. Let roots be \[\alpha \] and \[\alpha \] of above equation. Sum of roots and product of roots