Question 20

Mathematics Trigonometric Equations Hard

If&nbsp;<span class="math-tex">\(\rm \frac{\tan x}{2}= \frac{\tan y}{3} = \frac{\tan z}{5}\)</span>&nbsp;and x + y + z =&nbsp;&pi;, then the value of tan<sup>2</sup> x + tan<sup>2</sup>&nbsp;y + tan<sup>2</sup>&nbsp;z is:

(A) <span class="math-tex">\(\frac{38}{3}\)</span>
(B) <span class="math-tex">\(\frac38\)</span>
(C) <span class="math-tex">\(\frac{11}4\)</span>
(D) None of these.
View Dynamic Solution & Explanation
Correct Solution: Option A

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