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Question

Equation(s) of the tangents drawn from (4,10) to the parabola y2=9x is/are

A
x4y+36=0
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B
9x4y+4=0
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C
x2y+4=0
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D
xy+1=0
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Solution

The correct option is B 9x4y+4=0
Equation of tangent for y2=4ax is
y=mx+am (1)
We have y2=9x
4a=9a=94
Now, we get
y=mx+94m (2)
Above tangent passes through (4,10),
10=4m+94m16m240m+9=0(4m9)(4m1)=0m=94,14

Put m=94 in equation (2)
4y9x4=09x4y+4=0

Put m=14 in equation (2)
x4y+36=0

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