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Let g (x) be a cubic polnomial having lo...

Let `g (x)` be a cubic polnomial having local maximum at `x=-1` and g '(x) has a local minimum at `x =1, If g (-1) =10 g, (3) =- 22,` then

A

perpendicular distance between its two horizontal tangents is 12

B

perpendicular distance betweent its two horizontal tangents is 32

C

`g (x)=0` has atleast one real root lying in interval `(-2,0)`

D

`g (x) =0, ` has 3 distinict real roots

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B, D
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