Question
If acos 3 θ + 3asin 2 θcosθ = m
and asin 3 θ + 3asinθcos 2 θ = n, then find the value of (m + n) 2/3 + (m – n) 2/3 .Solution
We have, a cos3θ + 3a sin2θ cosθ = m and a sin3 θ + 3a sin θ cos2θ = n
put θ = 45º, then
a/2√2 + 3a/2√2 = m and a/2√2 + 3a/2√2 = n
⇒ m = n = √2 also, (m + n) 2\3 +(m − n) 2\3 = (√2a + √2a) 2\3 + 0
= (2√2a) 2\3 = (2 3\ 2 .a) 2\3 = 2a 2\3
Cast Iron Stomach
Their ambitious business venture, which they had poured all their savings into, ended in smoke when they failed to secure the necessary funding.Â
...Select the most appropriate meaning of the given idiom.
 Sitting shotgun
In the question below, a sentence is given with a part missing. From the options below, choose the correct combination of idioms that can fit in the bl...
- An idiom/phrase is given in bold. Following this idiom/phrase are given three sentences, which use the given idiom/phrase. The idiom/phrase may or may not ...
In each question, four alternatives are given for the Idiom / Phrase highlighted in the sentence. Choose the alternative which best expresses the meani...
- An idiom/phrase is given in bold. Following this idiom/phrase are given three sentences, which use the given idiom/phrase. The idiom/phrase may or may not ...
- An idiom/phrase is given in bold. Following this idiom/phrase are given three sentences, which use the given idiom/phrase. The idiom/phrase may or may not ...
They’re scattered
P- and are not the
Q- traditional Christmas lights
R- throughout the old town
Don’t give her the cold __________.
Relevant for Exams:
