CUET · MATHS · PYQ PAPER 2023
The value of \(\sin ^{-1} \frac{3}{5}-\sin ^{-1} \frac{8}{17}\) is :
- A \(\sin ^{-1} \frac{84}{85}\)
- B \(\cos ^{-1} \frac{84}{85}\)
- C \(\sin ^{-1} \frac{24}{85}\)
- D \(\cos ^{-1} \frac{24}{85}\)
Answer & Solution
Correct Answer
(B) \(\cos ^{-1} \frac{84}{85}\)
Step-by-step Solution
Detailed explanation
\(\sin^{-1} x - \sin^{-1} y = \sin^{-1} (x\sqrt{1-y^2} - y\sqrt{1-x^2})\) \( = \sin^{-1} \left(\frac{3}{5}\sqrt{1-\left(\frac{8}{17}\right)^2} - \frac{8}{17}\sqrt{1-\left(\frac{3}{5}\right)^2}\right)\)…
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
- If \(\alpha, \beta\) and \(\gamma\) are angle of inclinations of a line with \(x, y\) and \(z\) ares respectively, then the value of \(2(\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma)\) isCUET 2025 Medium
- If \(A=\left[\begin{array}{ll}1 & -1 \\ 2 & -1\end{array}\right], B=\left[\begin{array}{cc}a & 1 \\ b & -1\end{array}\right]\) and \((A+B)^2=A^2+B^2\) thenCUET 2025 Medium
- Which one of the following equations is a homogeneous differential equation?CUET 2025 Easy
- The vector equation of a line passing through the point with position vector \(2 \hat{i}-\hat{j}+\hat{k}\) and parallel to the line joining the points with position vectors \(-\hat{i}+4 \hat{j}+\hat{k}\) and \(\hat{i}+2 \hat{j}+2 \hat{k}\) is:CUET 2023 Hard
- The particular solution of the differential equation \(\frac{d y}{d x}=e^{x^2 / 2}+x y\), when \(x = 0\), \(y = 1\) isCUET 2025 Easy
- If \(\vec{a}, \vec{b}, \vec{c}\) are three mutually perpendicular unit vectors, then \(|\vec{a}+\vec{b}+\vec{c}|\) is equal to:CUET 2025 Easy
More PYQs from CUET
- The magnetic flux density at a point on the axis of a long solenoid having 1000 turns \(/ m\) when it is carrying a current of 3.4 A is nearly,CUET 2023 Easy
- If x = a sin t and y = a \(\left(\cos t+\log \tan \frac{t}{2}\right)\) then \(\frac{d^2 y}{d x^2}\) is:CUET 2023 Hard
- Which one of the followings is not a transgenic animal?CUET 2025 Hard
- Bacillus thuringiensis produces proteins (Bt toxin) that kill certain insects.
Identify the correct statements.
(A) Bt toxin protein exists as an inactive form (protoxin) in Bacillus
thuringiensis.
(B) Bt toxin protein exists as an active form toxin in the insect gut.
(C) The alkaline pH of the gut of an insect solubilize the toxin and converts
in an inactive form.
(D) The toxin is coded by a gene crylac named cry.
Choose the correct answer from the options given below:CUET 2025 Medium - A circular coil of area \( 300 \text{ cm}^2 \) and 25 turns rotates about its vertical diameter with an angular speed of \( 40 \text{ rad s}^{-1} \) in a uniform horizontal magnetic field of magnitude 0.05 T. The maximum voltage induced in the coil isCUET 2025 Easy
- The solution set of the inequation \(\frac{7+5 x}{4} \geq \frac{x}{3}-10, x \in R\) is :CUET 2023 Hard