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

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 $$ {a^2\over b}+{b^2\over a}=?$$

If a nine Digit number 785x3678y is divisible by 72, then the value of (7x- 5y) is:

The population of Jaipur is 20,00,000. If it is increased by 5 %, 10%, 20% respectively in the next three years, then find the population of Jaipur after 3 years.

A man rides his vehicle at the rate of 36 km/hr but stops for 12 minutes, to change parts at the end of every 14^th  km,what will be the timed taken to cover a distance of 90 km?

The average of 24 number is 65. The average of first 11 number is 67 and the average of last 10 number is 70. If the 12^th Number is 13 less than the 13^th number , and the 14^th number is  one more than the 13^th number, then the average of 12^th and 14^th number is:

A square pyramid with side 10 cm has a volume of 400 cm³. Find the total surface area of the pyramid.

If x is the mean proportional between 20 and 5 and y is the third proportional to 16 and 64, then find the value of x/y.