Find the coordinates of the point on the curve y2 = 3 4x where tangent is parallel to - Maths -

Question

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

Global Expert · Accepted Answer

Let (x1, y1) be the
required point
Slope of the given line = -2

Since, the point lies on the curve
Hence, y12=3-4x1       
1Now, y2=3-4x⇒2ydydx=-4∴dydx=-42y=-2ySlope of the tangent = dydxx1, y1=-2y1Given:Slope of the tangent = Slope of the line⇒-2y1=-2⇒y1=1From (1), we get1=3-4x1⇒-2=-4x1⇒x1=12∴x1, y1=12, 1

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

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