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 
1