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Grade:

                        

IF THE MAXIMUM & MINIMUM VALUE OF - y= x 2 -3x+c / x 2 +3x+c ARE 7 AND 1/7 ,THEN VALUE OF c IS ...?

10 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

 

 

 

10 years ago
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