AP EAMCET · Maths · Inverse Trigonometric Functions
The sum of the maximum and the minimum values of \(2\left(\cos ^{-1} x\right)^2-\pi \cos ^{-1} x+\frac{\pi^2}{4}\), is
- A \(\frac{\pi^2}{8}\)
- B \(\frac{11 \pi^2}{8}\)
- C \(\frac{3 \pi^2}{2}\)
- D \(4 \pi^2\)
Answer & Solution
Correct Answer
(B) \(\frac{11 \pi^2}{8}\)
Step-by-step Solution
Detailed explanation
Given, \(2\left(\cos ^{-1} x\right)^2-\pi \cos ^{-1} x+\frac{\pi^2}{4}\) Let \(\cos ^{-1} x=y\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(X\) follows Poisson distribution with variance 2, then \(P(X \geq 3)=\)AP EAMCET 2025 Medium
- The number of solutions of the equation \(\sqrt{3 x^2+x+5}=x-3\) isAP EAMCET 2025 Medium
- Suppose a parabola passes through and and has its axis parallel to the -axis. Then the equation of the parabola isAP EAMCET 2022 Medium
- Suppose that the equation \(a x^2+b x+c=0\) has roots \(\alpha\) and \(\beta\), both of which are different from \(\frac{1}{3}\), then an equation whose roots are \(\frac{1}{3 \alpha-1}\) and \(\frac{1}{3 \beta-1}\) isAP EAMCET 2021 Easy
- \(\int \frac{1-x^7}{x\left(1+x^7\right)} d x=a \ln |x|+b \ln \left|x^7+1\right|+c \Rightarrow(a, b)=\)AP EAMCET 2017 Hard
- In \(\triangle O A C\), if \(B\) is the mid-point of side \(A C\) and \(\mathbf{O A}=\mathbf{a}, \mathbf{O B}=\mathbf{b}\), then \(\mathbf{O C}\) is equal toAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- If \(\alpha, \beta\) are the roots of the equation \(x^2+b x+c=0\) satisfying the conditions \(\alpha+\beta=5\) and \(\alpha^3+\beta^3=60\), then \(3 c+2=\)AP EAMCET 2025 Medium
- The velocities of two particles \(A\) and \(B\) are 0.05 and \(0.02 \mathrm{~ms}^{-1}\) respectively. The mass of \(B\) is five times the mass of \(A\). The ratio of their de-Broglie's wavelength isAP EAMCET 2008 Easy
- Which of the following quadratic equations whose real roots \(x_1, x_2\) satisfy the conditions \(x_1^2+x_2^2=5 ; 3\left(x_1^5+x_2^5\right)=11\left(x_1^3+x_2^3\right) ?\)AP EAMCET 2022 Easy
- If \(\cos x \frac{d y}{d x}-y \sin x=6 x,\left(0 \lt x, \frac{\pi}{2}\right)\) and \(y\left(\frac{\pi}{3}\right)=0\) then \(y\left(\frac{\pi}{6}\right)=\)AP EAMCET 2024 Easy
- Which one of the following functions is monotonically increasing in its domain?AP EAMCET 2025 Medium
- The lines represented by the equation \(x^2-y^2-x+3 y-2=0\) are :AP EAMCET 2006 Medium