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Question

If θ is the angle between the two tangents to y2=12x drawn from the point (1,4), then tanθ is equal to

A
23
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B
34
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C
35
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D
12
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Solution

The correct option is D 12
Let equation of tangent to y2=4ax be
y=mx+am
Here, a=3
Since, it passes through (1,4)
4=m+3mm24m+3=0m1=3,m2=1
Now,
tanθ=m1m21+m1m2tanθ=311+13tanθ=12

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