Question

If the line y=3x+k is tangent to the parabola y2=4x then the value of K is​

Answer 1

Answer:

2x=k+3y

Putting this in y

2

=6x

y

2

=3(k+3y)⇒y

2

−9y−3k=0

For getting 1 value of y as the line TOUCHES the parabola

We should put the Discriminant of the Quadratic Equation D=0

Hence, 9

2

+12k=0⇒k=

12

−81

=

4

−27