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Question -

Find the equation of thetangent to the curve  which is parallel to the line 4x −2y + 5 = 0.



Answer -

The equation of the givencurve is

The slope of the tangent to the given curveat any point (xy) is given by,

The equation of the given line is 4x −2y + 5 = 0.

4x − 2y + 5 = 0   (which is of the form

Slope of the line = 2

Now, the tangent to the given curve isparallel to the line 4x − 2y − 5 = 0 if the slope ofthe tangent is equal to the slope of the line.

Equation of the tangent passing through thepoint is given by,

Hence, the equation of therequired tangent is

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