If cos θ = \(\dfrac{2}{3}\), then 2 sin2 θ + 2 tan2 θ - 6 equals:
Study the given graph and answer the question that follows.
In the year 2019, if the imports increased by the same percentage as that in 2018 over its previous year, then what was the amount (in ₹ crores) of the imports in the year 2019?
A man invested a total of ₹12,050 in two parts, one at 10% p.a. simple interest for 2 years and the other at the same rate at compound interest, interest being compounded annually, for the same time. The amounts he received from both the parts are equal. The sum (in ₹) invested at the compound interest is:
If x + y = 5 and \(\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{20}{9},\) , then the value of (x3 + y3) will be:
\(\dfrac{205}{4}\)
\(\dfrac{635}{8}\)
\(\dfrac{635}{4}\)
\(\dfrac{365}{4}\)