The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?

A gun is fired at a distance of 1.7 km from Ram and he hears the sound after 25 seconds. The speed of sound in meter per second is

If $$ a={{\sqrt{3}+\sqrt{2}}\over {\sqrt{3}-\sqrt{2}}}$$ and $$ b={{\sqrt{3}-\sqrt{2}}\over {\sqrt{3}+\sqrt{2}}}$$, then find the value  of $$ {a^2\over b}+{b^2\over a}=?$$

Find the equation of the line that passing through the point (7, -5 ) and is perpendicular to  the line (4x+5y=1).

Directions: Study the following table carefully to answer the questions that follow Number of Gold coins (in hundred) produced in Five Different companies during Six Different month.

What was the respective ratio between the number of Gold coins produced from company P in the month may and the number of Gold coins produced from company T in the month June?

A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre?

Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves the job. In how many days did Bobby alone complete the rest of the job?

An item costing Rs. 840 was sold by a shopkeeper at a gain of 10 % and it was again sold by the new buyer at a loss of 5 %. Find selling price of the item is: