1.

If one root of ` x^(2) + px+12 = 0` is 4, while the equation ` x ^(2) + px + q = 0` has equal roots, then the value of q isA. `49//4`B. ` 4//49`C. 4D. `1//4`

Answer» Correct Answer - A
Given ` x^(2) + px + 12 = 0`
Since, x = 4 is the one root of the equation, thererfore
x = 4 will satisfy this equation
`:. 16 + 4p+12 = 0 rArr p =- 7`
Other quadratic equation becomes `x^(2) - 7x+ q = 0` (By putting value of p)
Its roots are equal, so, `b^(2) = 4ac`
` rArr 49 = 4q or q = (49)/ 4`


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