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The equation of tangent to the parabola ...

The equation of tangent to the parabola `y^2 = 9x`, which pass through the point (4, 10) is

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Equation of a tangent to a parabola is given by ,
`y = mx+a/m->(1)`
In the given parabola, `y^2 = 9x`,
`4a = 9=> a = 9/4`
Putting value of `a` in (1),
`y = mx+9/(4m)->(2)`
As the given tangent is passing through point `(4,10)`,
`:. 10 = 4m+9/(4m)`
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