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Question

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

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Solution

Equation of tangent to parabola y2=9xisy=mx+94m
Since it passes through (4, 10)
10=4m+94m16m240m+9=0
m=14,94
equation of tangent's are y=x4+9 & y=94x+1

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