Question

If y = 5x
2
+ 3, then the tangent at x = 0, y = 3

Answer 1

Answer:

is parallel to the x-axis

Step-by-step explanation:

Given, y=5x2+3y=5x2+3

Slope dy/dx=10xdy/dx=10x

Given point x=0,y=3:(0,3)x=0,y=3:(0,3)

Now, at (0,3)(0,3) we have the slope as dy/dx=10×0=0,dy/dx=10×0=0, which means no matter how much ever we change 'x',change in y is zero or y is a constant (y=3,here) i.e line is parallel to XX- axis.

Options B and D eliminated as they have slope as '+1' and '-1'.

Option A is eliminated as given the tangent is at point (0,3)(0,3) and we found slope=0slope=0, which means it is parallel to XX axis. The equation of line is nothing but y=3y=3, which never passes through (0,0).(0,0). Hence A too eliminated.

therefore it is parallel to x-axis

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