Consider the following statements : 1. n(\sin ^{2} 67 \frac{1}{2}^{\circ}-\sin ^{2} 22 \frac{1}{2}^{\circ})>1 for all positive integers n \geq 2. 2. If {x} is any positive real number, then n x>1 for all positive integers n \geq 2. Which of the above statements is\/are correct ? [NDA I 2014]

UPSC NDA I 2014 Mathematics Paper

Question : 44 of 120

Marks: +1, -0

Consider the following statements :
1. n(sin267‌

2∘

−sin222‌

2∘

)>1 for all positive integers n≥2.
2. If x is any positive real number, then nx>1 for all positive integers n≥2.
Which of the above statements is\/are correct ?

[NDA I 2014]

1 only
2 only
Both 1 and 2
Neither1 nor 2

Validate

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