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rahul khurana Grade:
        

IF THE MAXIMUM & MINIMUM VALUE OF -


y= x2-3x+c / x2+3x+c  ARE 7 AND 1/7 ,THEN VALUE OF c IS ...?

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear rahul


y= x2-3x+c / x2+3x+c


cross multiply and simplify


x2(y-1) +x(3y+3) +c(y-1)=0


this equation has a real value so discrimnent will be ≥ o


 (3y+3)2 -4c(y-1)(y-1)≥0


simplyfy


{y(3+2√c) -(2√c-3)}{y(2√c -3) -(3+2√c)}≤0


            (2√c-3)/  (3+2√c) ≤  y≤(3+2√c)/(2√c -3)


compair with given condition


(3+2√c)/(2√c -3) =7


 c= 9/4


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Regards,
Askiitians Experts
Badiuddin


 


 


 

7 years ago
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