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What r the equations of tangents :- 1- parallel to x-axis . 2- parallel to y-axis. 3-not parallel to x or y -axes. 4- at origin. 5-relation to parabola.....

What r the equations of tangents :-  1- parallel to x-axis .    2- parallel to y-axis.    3-not parallel to x or y -axes.      4- at origin.    5-relation to parabola.....

Grade:12th pass

2 Answers

Arun
25750 Points
4 years ago
Dear Parag
 
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Vikas TU
14149 Points
4 years ago
A line parallel to the x-axis will have slope m=0. So you need to take the first derivative, and set it equal to zero to solve for the x values at which the slope of the tangent to your curve is zero.
Using each solution x0, find its corresponding y-coordinate(s) using your original equation. For point (x0,y0) on a line, the corresponding equation of the line is given by
y−y0=m(x−x0)
In your case, slope being zero, your equation(s) will be given by y=y0.

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