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if theta denotes the acute angle between...

if `theta` denotes the acute angle between the curves, `y = 10-x^2" and " y=2+x^2` at a point of their intersection, then `abstantheta` is equal to

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The correct Answer is:
5
Point of intersection of the curves is `(+-2,6)`
Slope of tangents is `(dy)/(dx)|_(x=2)` Therefore slopes are -4 and +4
So `|tan theta|=|(2xx4)/(1-4^(2))|=8/15`
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