For the following questions answer them individually
Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?
If $$m + \frac{1}{m - 2} = 4$$, then find the value of $$(m - 2)^2 + \frac{1}{(m - 2)^2}$$.
The ratio of the cost price and selling price of an article is 10 : 11. The gain per cent is:
If $$\cosec \theta + \cot \theta = p$$, then the value of $$\frac{p^2 - 1}{p^2 + 1}$$ is:
If $$\triangle ABC \sim \triangle EDF$$ such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:
How many metres of 2-m-wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m ignore wastage?
What is the value of the expression $$\cos 2A \cos 2B + \sin^2 (A - B) - \sin^2 (A + B)$$?
The average of six numbers is 3.52. The average of two of them is 3.7, while the average of other two is 2.5. What is the average of the remaining two?
If a = 26 and b = 22, then the value of $$\frac{a^3 - b^3}{a^2 - b^2} - \frac{3ab}{a + b}$$ is ..............
In $$\triangle ABC, D$$ and $$E$$ are points on sides $$AB$$ and $$AC$$, such that $$DE \parallel BC$$. If $$AD = x + 3, DB = 2x − 3, AE = x + 1$$ and $$EC = 2x − 2$$, then the value of x is:
