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Let alpha = (cos 85^(@) sin 55^(@)sin65^(@))/(cos5^(@)sin 35^(@)sin25^(@)) is a root of the quadratic equation 2x^(2) - px + q = 0, where p, q in Q then the value of (p + q) is |
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Answer» 2 `(1/4 sin 15^(@))/(1/4 cos 15^(@)) = tan 15^(@)` `= 2 - sqrt(3)` other root will be `2 + sqrt(3)` [ p, q `in` Q] So, REQUIRED equation is `x^(2) - (4X) + 1 = 0` 2X^(2) - 8x + 2 = 0` `:. p + q = 10`. |
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