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Question

The slope of tangents drawn from a point (4,10) to the parabola y2=9x are

A
14,34
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B
94,14
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C
13,14
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D
None of these
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Solution

The correct option is B 94,14
We know that, the equation of tangent to the parabola y2=4ax is
y=mx+am....(i)
Here, given equation is y2=9x
a=94
Eq. (i) becomes
y=mx+94m
Since, it passes through (4,10)
10=4m+94m
16m240m+9=0
(4m1)(4m9)=0
m=14,94.

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