For the following questions answer them individually
If $$\sin \theta + \cos \theta = \surd{2}$$, then find the value of $$\cosec \theta + \cot \theta$$.
In triangle ABC, AB = 20 cm, BC = 16 cm and AC = 12 cm and the radius of circle inscribed in it is 4 cm. Find the area of triangle ABC.
The marked price of a chair is 30 percent more than its cost price. If the chair is sold for Rs. 200 after a discount of Rs. 40, then what will be the profit percentage?
The bar graph given below shows the saving and expenditure of 5 companies D, E, F, G and H.
The total income of all the companies is what percent of the total expenditures?
The pie chart given below show the runs scored by 5 batsmen in a cricket match. Total runs scored by these five batsmen are 700. Runs scored by a batsman is shown as a percentage of runs scored by all these five batsmen.
What are total runs scored by L, N and R?
The value of $$25 \div 10 - \left(\frac{7}{4} \times \frac{1}{3}\right) of \frac{6}{5} + \frac{14}{3} \times \frac{9}{10} + \left(\frac{1}{5} \div \frac{1}{25}\right)$$ is:
In triangle $$XYZ, \angle{Y}$$ is the smallest angle and $$\angle{Y} = 25$$ degree. If the ratio of the angle is 20 : 11 : 5, then what is the largest angle of $$\triangle XYZ$$
Two medians QT and RS of the triangle PQR intersect at G at right angles. If QT = 18 cm and RS = 27 cm. then the length of QS is:
If $$\cot (P + Q) = 0$$ and $$\tan (P - Q) = \frac{1}{\surd{3}}$$, then what is the value of $$\angle P$$ and $$\angle Q$$? (0 degree $$< P, Q \leq 90$$ degree)