Question : Water has maximum density at

Option 1: 100^oC

Option 2: 0^oC

Option 3: 4^oC

Option 4: 273^oC

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 $\frac{x-x\tan^{2}30^{\circ}}{1+\tan^{2}30^{\circ}}=\sin^{2}30^{\circ}+4\cot^{2}45^{\circ}-\sec^{2}60^{\circ}$, then value of $x$ is:

Option 1: $\frac{1}{4}$

Option 2: $\frac{1}{5}$

Option 3: $\frac{1}{2}$

Option 4: $\frac{1}{\sqrt3}$

Question : The sum of the length and breadth of a cuboid is 4 cm. Length is three times the breadth. If the height of the cuboid is half of the sum of its length and breadth. Then what is the total surface area of the cuboid?

Option 1: 64 cm²

Option 2: 22 cm²

Option 3: 32 cm²

Option 4: 30 cm²

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