if $$m+{1\over(m-2)}=4$$,then find the value of  $$ (m-2)^2+ \left({{1\over {m-2}}} \right)^2 \ $$

If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

The value of   $${cosec^230^0sin^245^0+sec^260^0}\over {tan60^0cosec^245^0-sec^260^0tan45^0}$$ is 

A, B and C invested capital in the ratio 5: 7: 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45: 42: 28, then x : y : z = ?

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 7x + 10 = 0

II. y² + 5y + 4 = 0

While selling a watch, a shop- keeper gives a discount of 5%. If he gives a discount of 7%, he earns ₹15 less as profit. The marked price of the watch is 

The average age of a husband and his wife was 27 years when the child was born, the average age of the husband, the wife and new-born child is 21 years now. The present age of the child is:

If   $$ a={b^2\over b-a} $$  then the value of a³ + b³ is