TS EAMCET · Maths · Inverse Trigonometric Functions
If \(\sin ^{-1}\left(\frac{12}{x}\right)+\sin ^{-1}\left(\frac{5}{x}\right)=\frac{\pi}{2}\), then \(x=\)
- A 5
- B 7
- C 13
- D 17
Answer & Solution
Correct Answer
(C) 13
Step-by-step Solution
Detailed explanation
We have, \(\sin ^{-1}\left(\frac{12}{x}\right)+\sin ^{-1}\left(\frac{5}{x}\right)=\frac{\pi}{2}\) \(\Rightarrow \quad \sin ^{-1}\left(\frac{12}{x}\right)=\frac{\pi}{2}-\sin ^{-1}\left(\frac{5}{x}\right)\)…
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
- Suppose \(f: R \rightarrow R\) defined as \(f(x)=\left\{\begin{array}{ll}{[\cos \pi x],} & x \leq 1 \ 2\{x\}-1, & x>1\end{array}\right.\), where \([\cdot]\) and \(\{\cdot\}\) denote the greatest integer function and the fractional part of \(x\) respectively, then at \(x=1\)TS EAMCET 2021 Easy
- The coefficient of \(x^n\) in \(\frac{1-2 x}{e^x}\) is :TS EAMCET 2006 Medium
- The roots of the cubic equation are diminished by and a cubic equation with these diminished roots is formed. If the transformed equation does not contain term, then the roots of the transformed equation areTS EAMCET 2021 Medium
- If \(f(x)=\frac{1}{x^3} \int_5^x\left(2 u^2-u f^{\prime}(u) d u\right.\), then \(f^{\prime}(5)=\)TS EAMCET 2020 Medium
- If the angle between the circles and is then a value of isTS EAMCET 2020 Hard
- If \(D, E\) and \(F\) are respectively the mid-points of \(A B, A C\) and \(B C\) in \(\triangle A B C\), then \(\overrightarrow{\mathbf{B E}}+\overrightarrow{\mathbf{A F}}\) is equal to :TS EAMCET 2003 Medium
More PYQs from TS EAMCET
- A circle passes through the points . If its centre lies on the line , then its radius is equal toTS EAMCET 2022 Easy
- Three rods \(A B, B C\) and \(B D\) made of the same material and having the same cross-section have been joined as shown in the figure.
The ends \(A, C\) and \(D\) are held at temperatures of \(20^{\circ} \mathrm{C}, 80^{\circ} \mathrm{C}\) and \(80^{\circ} \mathrm{C}\) respectively. If each rod is of same length, then the temperature at the junction \(B\) of the three rods isTS EAMCET 2010 Easy - The ratio in which the line divides the line segment joining the origin and the point of intersection of the lines represented by isTS EAMCET 2019 Medium
- Dispersive power depends on the following :TS EAMCET 2006 Easy
- An iron load of \(2 \mathrm{~kg}\) is suspended in air from the free end of a sonometer wire of length \(1 \mathrm{~m}\). A tuning fork of frequency \(256 \mathrm{~Hz}\), is in resonance with \(\frac{1}{\sqrt{7}}\) times the length of the sonometer wire. If the load is immensed in water, the length of the wire in metre that will be in resonance with the same tuning fork is \((\) Specific gravity of iron \(=8)\)TS EAMCET 2004 Hard
- The solubilities of the impurities in the melt and solid states is not same. This principle is applied during the extraction of boron. This method is known asTS EAMCET 2020 Easy