TS ICET 28th July 2022 Shift-2
For the following questions answer them individually
If 9 times the $$9^{th}$$ term of an arithmetic progression is equal to 13 times the $$13^{th}$$ term, then the $$22^{nd}$$ term of the arithmetic progression is
$$\frac{\cos 690^{\circ} + \cot 210^{\circ} + \cos 420^{\circ}}{\sin 690^{\circ} + \sec 210^{\circ} +\tan 420^{\circ}}$$
$$\frac{1}{\sqrt{3}} \sin 300^{\circ} + \tan 855^{\circ} + \frac{3}{4} \sec 780^{\circ}$$ =
A man standing at 50m on the tower of a ship observes the angle of depression of 2 boats on either side of the ship to be $$30^{\circ}$$ and $$60^{\circ}$$ respectively. The distance (in meters) between the boats is
In the given figure $$l_{1}, l_{2}$$ are two intersecting lines at O and $$l_{3}$$ is a horizontal through O. The value of $$x$$ ( in degrees) is
In the given triangle if $$\angle ABC = \angle BDC = 90^{\circ}$$ and BD = AD,
Then $$x$$ =
