If a and b are complementary angles then what $$\sqrt { coseca\quad cosecb } { (\cfrac { sina }{ sinb } +\cfrac { cosa }{ cosb } ) }^{ -\cfrac { 1 }{ 2 } }$$ is equal to ?

In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

In $△ABC, AD$ is the median and $G$ is a point on $AD$ such that $AG:GD=2:1$. Then area $(△BDG):$area $(△ABC)$ is equal to:

 Study the following question and decide that which of the following information is sufficient to answer the question? What is the value of $\angle \mathrm{ACB}$ ?

Information:

1. 

2.$\angle D={60}^0$

In $△\mathrm{ABC},$ if $\mathrm{AB}=\mathrm{AC}$ and $\angle \mathrm{BAC}={40}^{\circ }$, then the measure of $\angle \mathrm{B}$ is:

The wheels of a car are of diameter $80 \mathrm{c}\mathrm{m}$ each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of $66 \mathrm{k}\mathrm{m}$ per hour? $\left(\mathrm{use} \pi =\frac{22}{7}\right)$

In the given figure, $AB\parallel CD, \angle ABO=40°$ and $\angle CDO=35°$. Then the value of $x$ will be

Only one circle can be drawn through three non collinear points.

What is the circumference of the largest circle which can be inscribed in a square of side $14 cm$? ($\mathrm{\pi }=\frac{22}{7}$)

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

(II) 0 < q < 90°