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Question

The length of the intercept on y-axis cut off by the parabola, y25y=3x6 is ?

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Solution

y25y=3x6
For point of intersection with Y axis i.e. X=0
y25y=3×06
y25y+6=0
(y2)(y3)=0
y=2,3
A(0,y1)B(0,y2)
AB=|y1y2|=|32|=1

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