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XAT 2019 Trigonometry — Previous Year Question

Paper

XAT 2019

Section

Quantitative

Topic

Trigonometry

Difficulty

Medium

Question

XAT 2019

Let ABCABC be an isosceles triangle. Suppose that the sides ABAB and ACAC are equal and let the length of ABAB be xx cm. Let bb denote the angle ∠ABC\angle ABC and sin⁡b=3/5\sin b = 3/5. If the area of the triangle ABCABC is MM square cm, then which of the following is true about MM?

M<x24M < \frac{x^2}{4}

3x24≤M<x2\frac{3x^2}{4} \le M < x^2

M≥x2M \ge x^2

x22≤M<3x24\frac{x^2}{2} \le M < \frac{3x^2}{4}

x24≤M<x22\frac{x^2}{4} \le M < \frac{x^2}{2}

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