If \(
5x - \frac{5}{x} + 6 = 0,
\) then \( x^{2} + \frac{1}{x^{2}} \) is:
\( \frac{86}{25} \)
\( \frac{43}{12} \)
\( \frac{81}{10} \)
\( \frac{86}{11} \)
In ∆ABC, D and E are points on sides AB and AC, such that DE II BC. If AD = x + 3, DB = 2x - 3, AE = x + 1 and EC = 2x - 2, then the value of x is:
\( \frac{4}{5} \)
\( \frac{1}{2} \)
\( \frac{3}{5} \)
\( \frac{1}{5} \)
If a = 26 and b = 22, then the value of \( \frac{a^{3} - b^{3}}{a^{2} - b^{2}} - \frac{3ab}{a+b} \)
\( \frac{5}{3} \)
\( \frac{13}{11} \)
\( \frac{1}{3} \)
\( \frac{11}{13} \)
The table given below shows the budget allocation for education in five states in a year.
| States | Budget allocation |
| D | 225 |
| E | 75 |
| F | 250 |
| G | 425 |
| H | 535 |
What is the total budget allocation for education in all the states?
The table given below shows the GDP of two countries in different five years.
| Years |
Country
|
|
| A | B | |
| Y1 | 175 | 285 |
| Y2 | 200 | 300 |
| Y3 | 150 | 125 |
| Y4 | 75 | 85 |
| Y5 | 50 | 95 |
K1 = The value of average GDP of country A in all the 5 years.
K2 = The value of average GDP of country B in all the 5 years.
What is the value of (K1 + K2)?
Find the value of tan 27° tan 34° + tan 34° tan 29° + tan 29° tan 27°.