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Let alpha and beta be two real roots of ...

Let `alpha and beta` be two real roots of the equation `5 cot ^(2) x- 3 cot x-1=0,` then `cot ^(2)(alpha + beta)=`

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
`cot alpha + cot beta = 3/5 cot alpha. Cot beta =-1/5`
`cot (alpha + beta) = (cot alpha cot beta-1 )/(cot alpha + cot beta) =(-(1)/(5)-1)/((3)/(5))`
`=-6/3=-2" "implies cot ^(2) (alpha+ beta)=4`
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