Miscellaneous Exercise 5

Miscellaneous Exercise 5

1. Tick the correct option.

4. In a right-angled triangle, if a and b denote the lengths of the sides containing the right angle and c denotes the length of the hypotenuse, it is known that $c^{2} = a^{2} + b^{2}$. By substitution find which of the following sets of numbers represent the sides of right-angle triangle. (i) 7,24,25 (ii) 1.6,6.3,6.5 (iii) 12,35,36 (iv) 3,4,5

5. If $a=3, b=4, c=1$, find the value of: $\sqrt{2ab+4ac}+\sqrt{9b}+\frac{2abc}{3}$$\sqrt{2ab+4ac} + \sqrt{9b} + \frac{2abc}{3}$

6. Subtract the sum of $2x^{3}-3x+4$ and $-3x^{2}+2x-7$ from $4x^{3}-3x^{2}+x-6 - \{2x^{3}-(x-6)\}$