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+2 votes
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in Mathematics by (130k points)
Find the equation of the tangent to the curve y= √(3x-2) which is parallel to the line 4x − 2y + 5 = 0.

1 Answer

+1 vote
by (93.8k points)
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Best answer

The equation of the given curve is 

The slope of the tangent to the given curve at any point (x, y) is given by, 

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

Hence, the equation of the required tangent is 48x-24y =23

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