Need a graph based solution please

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The line represented by which of the following equation does not intersect with the line represented by y = 3x2+ 5x+1

a)y = 2x2+ 5x+1

b) y = x2+ 5x+2

c)y = 3x2+ 5x+2

d)y = 3x2+ 7x+2

e)y = x2 + 7x+1

[ganeshrkamath]

The line represented by which of the following equation does not intersect with the line represented by y = 3x2+ 5x+1

a)y = 2x2+ 5x+1

b) y = x2+ 5x+2

c)y = 3x2+ 5x+2

d)y = 3x2+ 7x+2

e)y = x2 + 7x+1

The constant term (i.e. 1) represents the intercept of the curve on y axis. (value of y when x = 0)

Now, in the options, search for a curve with the same co-efficients for x but with different intercept (constant).
Such a curve will always be parallel to the given curve and, therefore, will not intersect the given curve.

Choose C