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Question

If θ denotes the angle between the curves y=302x2 and y=3+x2 at a point of their intersection, then 71|tanθ| is equal to

A
15
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B
13
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C
20
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D
18
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Solution

The correct option is D 18
y=302x2m1=4x
y=3+x2m2=2x
tanθ=m1m21+m1m2=4x2x18x2 =6x18x2
For point of intersection, 302x2=3+x2
3x2=27x2=9x=±3
|tanθ|=1818×9=1871=1871
71|tanθ|=18

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