The ratio of the lengths of two corresponding sides of two similar triangles is 17 : 13. The ratio of the areas of these two triangles, in the order mentioned, is:
In a row of 25 students facing north, Manoj is 15th from the right end. If Harish is 10th to the left of Manoj, what is Harish's position from the left end of the row?
If x is inversely proportional to y, and y = 6 when x = 7, find the value of x, when y = 64.
\( \frac{21}{32} \)
\( \frac{23}{35} \)
\( \frac{22}{33} \)
\( \frac{21}{33} \)
The solution of the system of linear equations is:
x + y + z = 6, 2x − y + 3z = 14, −x + 2y − z = −2
x = \( \frac{-4}{3} \), y = \( \frac{4}{3} \), z = 6
x = \( \frac{4}{3} \), y = \( \frac{-4}{3} \), z = 5
x = \( \frac{5}{3} \), y = \( \frac{-5}{3} \), z = 6
x = \( \frac{-5}{3} \), y =\( \frac{5}{3} \), z = −6