The length of the two sides forming the right angle of a right-angled triangle are 6 cm and 8 cm, then find the length of its circum radius:

A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m². 

If a + b: b+c : c+a= 6:7:8 and a + b+c= 14, , then the value of c is : 

A wholesaler purchased 7 hair clips for a rupee. How many for a rupee must he sell to get profit of 40%?

$$ {tan^2θ}$$ is equal to:-

Area of the triangle formed by the graph of the straight lines x - y = 0, x + y = 2 and the x-axis is: 

If x, y are two positive real number and  $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?

A motorboat can travel at 10 km/hr. in still water it travelled 91 km downstream in a river and then returned taking at together 20 hours. Find the rate of flow of the river