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Question

The equation of parabola, whose axis is parallel to yaxis and which passes through points (0,2),(1,0) and (1,6) is

A
y=x2+3x+2
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B
y=x2+3x2
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C
x2+3y+2=0
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D
y2+3x+2=0
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Solution

The correct option is A y=x2+3x+2
General equation of such parabola is y=Ax2+Bx+C (1)
Since eqn. (1) passes through (0,2),(1,0) and (1,6), then we have
C=2 (2)AB+C=0 (3)A+B+C=6 (4)
From (2),(3) and (4), we get
A=1,B=3,C=2
Equation of parabola is y=x2+3x+2

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