Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN
29-01-24 S1
Question
If $\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2}$ is the solution of $4 \cos \theta+5 \sin \theta=1$, then the value of tan⁡ α is
Select the correct option:
A
$\frac{10-\sqrt{10}}{6}$
B
$\frac{10-\sqrt{10}}{12}$
C
$\frac{\sqrt{10}-10}{12}$
D
$\frac{\sqrt{10}-10}{6}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Easy
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE MAIN_2026
What is the mole fraction of water in $10 \%$ by weight $(\mathrm{w} / \mathrm{w})$ of aqueous urea solution? [Given:...
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
Identify the correct statements from the following : A. Heisenberg uncertainty principle is applicable to electrons. B. The size of...
JEE MainChemistryMedium
View Solution→
QJEE MAIN_2026
Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. Choose the correct answer from the...
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
How many grams of residue is obtained by heating 2.76 g of silver carbonate? (Given : Molar mass of $...
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
In sulphur estimation, $2.0 \times 10^{-3} \mathrm{~mol}$ of an organic compound $(\mathrm{X})$ (molar mass $76 \mathrm{~g} \mathrm{~mol}^{-1}$ ) gave 0.4813...
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
For a first order reaction $\mathrm{A} \rightarrow \mathrm{B}$ $x=$ $\_\_\_\_$ min. (Nearest integer)
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
An electrochemical cell, consist of the following two redox couples, $\mathrm{M}^{x+}(\mathrm{aq}) / \mathrm{M}(\mathrm{s})\left[\mathrm{E}_{\text {red }}^{\ominus}=+0.15 \mathrm{~V}\right]$ and $...
JEE MainChemistryMedium
View Solution→
QJEE MAIN_2026
For the following reaction at $50^{\circ} \mathrm{C}$ and at 2 atm pressure, $$ 2 \mathrm{~N}_2 \mathrm{O}_5(\mathrm{~g}) \mathrm{f} \quad 2 \mathrm{~N}_2...
JEE MainChemistryHard
View Solution→
QJEE MAIN_2026
If 3.365 g of ethanol $(l)$ is burnt completely in a bomb calorimeter at 298.15 K , the heat produced...
JEE MainChemistryHard
View Solution→
QJEE MAIN_2026
Match the LIST-I with LIST-II Choose the correct answer from the options given below:
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
Among $\mathrm{Fe}^{3+}, \mathrm{Pb}^{2+}, \mathrm{Cu}^{2+}$ and $\mathrm{Mn}^{2+}$, identify the one that gets precipitated out while passing $\mathrm{H}_2 \mathrm{~S}$ in presence of...
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
A D-aldotetrose on oxidation with concentrated $\mathrm{HNO}_3$ resulted in optically inactive dicarboxylic acid. The structure of the D -aldotetrose is:
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
The strongest conjugate acid will result from:
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
The descending order of acidity among the following compounds is: Choose the correct answer from the options given below:
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
The following structures are
JEE MainChemistryEasy
View Solution→
QJEE MAIN_2026
Compound $(\mathrm{X})$ is subjected to the sequence of reactions as shown above. Molar mass of the major product $(\mathrm{Y})$ formed...
JEE MainPhysicsEasy
View Solution→
QJEE MAIN_2026
Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial concentration...
JEE MainChemistryMedium
View Solution→
QJEE MAIN_2026
Consider $|\mathrm{x}|$ is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions...
JEE MainChemistryMedium
View Solution→