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Question Number 80795 by mr W last updated on 06/Feb/20

Commented by mr W last updated on 06/Feb/20

Find the equation of the parabola, i.e.  the value k as well as the corresponding  coordinates of points A,B,C such that  the areas I, II, III, IV  are equal.

Findtheequationoftheparabola,i.e.thevaluekaswellasthecorrespondingcoordinatesofpointsA,B,CsuchthattheareasI,II,III,IVareequal.

Commented by MJS last updated on 06/Feb/20

I think there′s no solution  you showed there′s no solution for k=1  y=x^2   let x_1 =(x/a)∧y_1 =(y/a) ⇔ x=ax_1 ∧y=ay_1   y_1 =ax_1 ^2   ⇒  all parabolas y_1 =ax_1 ^2  are similar to y=x^2

Ithinktheresnosolutionyoushowedtheresnosolutionfork=1y=x2letx1=xay1=yax=ax1y=ay1y1=ax12allparabolasy1=ax12aresimilartoy=x2

Commented by mr W last updated on 07/Feb/20

you are right sir!

youarerightsir!

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