If 9x2 - 6x + 1 = 0, then the value of \(27x^{3} + (27x^{3})^{-1}\) will be:
Study the following graph and answer the question that follows.
Marks scored by five students A, B, C, D and E in three subjects (Maths, English and Physics)
What are the approximate average marks obtained by C?
If cos θ =\(\dfrac{p^{2} - 1}{p^{2} + 1}\) , 0° < θ < 90°, then cosec θ is equal to:
\(\dfrac{2P}{1 - P^{2}}\)
\(\dfrac{2P}{1 + P^{2}}\)
\(\dfrac{1 + P^{2}}{2P}\)
\(\dfrac{1 - P^{2}}{2P}\)
What will be the compound interest (in ₹) on a sum of ₹7,200 for 18 months at a rate of 20% per annum, if the interest is compounded half-yearly (nearest to an integer)?
If (4x − 5)³ + (x − 2)³ + 27(2x − 5)³ = 9(4x − 5)(x − 2)(2x − 5), then the value of \(\left(x + \dfrac{3}{2}\right)\) is:
\(\dfrac{3}{2}\)
\(\dfrac{1}{2}\)
\(\dfrac{7}{2}\)
\(\dfrac{5}{2}\)
If 9a² + 4b² + 49c² + 18 = 2(2b² + 28x − 3a), then the value of (a + 2b − c) will be:
\(\dfrac{11}{21}\)
\(\dfrac{2}{21}\)
\(\dfrac{26}{21}\)
\(\dfrac{5}{21}\)
If 7sin2 θ + 3 cos2 θ = 4, 0° < θ < 90°, then the value of θ will be: