Q11 of 149 Page 16

Find the coordinates of the point on the curve y2 = 3 – 4x where tangent is parallel to the line 2x + y – 2 = 0.

Given that the curve y2 = 3 – 4x has a point where tangent is || to the line 2x + y – 2 =0.


Slope of the given line is -2.


∵ the point lies on the curve


∴ y2 = 3 – 4x




Now, the slope of the curve = slope of the line



⇒ y = 1


Putting above value in the equation of the line,


2x + 1 – 2 =0


⇒ 2x – 1 =0



So, the required coordinate is


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