# All the pairs (x,y) that satisfy the inequality 2 2 1 2 sin 2sin 5. 1 4sin x x y – + £ also satisfy the equation:

Question:

All the pairs $(\mathrm{x}, \mathrm{y})$ that satisfy the inequality $2 \sqrt{\sin ^{2} x-2 \sin x+5} \cdot \frac{1}{4 \sin ^{2} y} \leq 1$ also satisfy the equation:

1. $2|\sin x|=3 \sin y$

2. $2 \sin x=\sin y$

3. $\sin x=2 \sin y$

4. $\sin x=|\sin y|$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometric Equations and Inequations chapter.
JEE Main Previous Year April 10, 2019 (I)

Solution: # All the pairs (x,y) that satisfy the inequality 2 2 1 2 sin 2sin 5. 1 4sin x x y – + £ also satisfy the equation:

Question:

All the pairs $(\mathrm{x}, \mathrm{y})$ that satisfy the inequality $2 \sqrt{\sin ^{2} x-2 \sin x+5} \cdot \frac{1}{4 \sin ^{2} y} \leq 1$ also satisfy the equation:

1. $2|\sin x|=3 \sin y$

2. $2 \sin x=\sin y$

3. $\sin x=2 \sin y$

4. $\sin x=|\sin y|$

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometric Equations and Inequations chapter.
JEE Main Previous Year April 10, 2019 (I)

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