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IF alpha , beta are the roots of th...

IF ` alpha , beta ` are the roots of the equation `ax ^2 + bx +c=0` , then the value of the determinant `|(1, cos ( beta - alpha ), cos alpha ),( cos (alpha- beta ),1,cos beta ),( cos alpha , cos beta , 1)|`

A

`sin ( alpha + beta )`

B

`sin alpha sin beta `

C

`1+ cos ( alpha + beta )`

D

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The correct Answer is:
D
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