Question

Find the equation of tangents to the parabola y2=9x through the point (4,10)​

Answer 1

Step-by-step explanation:

SOLUTION:-

Equation of the parabola is y^2=9x

general equation of the parabola is y^2=4ax

by comparing the both equations we get,

4a=9

=>a=9/4

equation of the tangent of the parabola is y=mx+ a/m

points (4,10)

By putting all the values in the tangent equation we get , 10=m4+9/4/m

=>10=(16m^2+9)/4m

=>16m^2- 40m+9=0

By solving the equation we get , m=9/4 and1/4

so we have to put the values of m in the tangent equation then we get,

equation:

1. x - 4y+36=0
2. 9x- 4y+4=0

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