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Question

If the parabola y=ax2+bx+c, passes through the points (0,3),(1,4) and (1,4), then c(a+b)=

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Solution

Since, It passes through points.
So, y=ax2+bx+c will satisfy the points (0,3),(1,4) and (1,4).

c=3(i)

a+b=7(ii)

ab=1(iii)
solving the equations, we get
a=3,b=4 and c=3
c(a+b)=10

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