Question : If the horizontal range of a projectile is four times its maximum height, the angle of projection is:
Option 1: 30o
Option 2: 45o
Option 3: sin-1(1/4)
Option 4: tan-1(1/4)
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Correct Answer: 45o
Solution : The correct option is 45o.
A projectile's angle of projection is 45o if its horizontal range is four times its height. This can be inferred from the relationship between a projectile's horizontal range and its maximum height.
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Question : Water has maximum density at
Option 1: 100oC
Option 2: 0oC
Option 3: 4oC
Option 4: 273oC
Question : tan of complementary of an angle is the same as which of the angles?
Option 1: sin of that angle
Option 2: cot of that angle
Option 3: cos of that angle
Option 4: cosec of that angle
Question : If $\tan \theta+\sin \theta=A$ and $\tan \theta-\sin \theta=B$, then what is the value of $A^2-B^2$?
Option 1: $\tan \theta \sin \theta$
Option 2: $4 \cot \theta$
Option 3: $4 \tan \theta \sin \theta$
Option 4: $2 \tan \theta \sin \theta$
Question : If $\tan(A+B)=\sqrt{3}$, and $\tan(A-B)=\frac{1}{\sqrt{3}}$, $\angle A+\angle B<90°$; $A\geq B$ then $\angle A$ is:
Option 1: 90°
Option 2: 30°
Option 3: 45°
Option 4: 60°
Question : The temperature, which has the same reading on both Fahrenheit and Celsius scales, is
Option 1: 40o
Option 2: -40o
Option 3: -34o
Option 4: -140o
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