1
JEE Advanced 2024 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Let $\frac{\pi}{2} < x < \pi$ be such that $\cot x=\frac{-5}{\sqrt{11}}$. Then
$$ \left(\sin \frac{11 x}{2}\right)(\sin 6 x-\cos 6 x)+\left(\cos \frac{11 x}{2}\right)(\sin 6 x+\cos 6 x) $$
is equal to :
2
JEE Advanced 2022 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Consider the following lists :
List-I | List-II |
---|---|
(I) $$\left\{x \in\left[-\frac{2 \pi}{3}, \frac{2 \pi}{3}\right]: \cos x+\sin x=1\right\}$$ | (P) has two elements |
(II) $$\left\{x \in\left[-\frac{5 \pi}{18}, \frac{5 \pi}{18}\right]: \sqrt{3} \tan 3 x=1\right\}$$ | (Q) has three elements |
(III) $$\left\{x \in\left[-\frac{6 \pi}{5}, \frac{6 \pi}{5}\right]: 2 \cos (2 x)=\sqrt{3}\right\}$$ | (R) has four elements |
(IV) $$\left\{x \in\left[-\frac{7 \pi}{4}, \frac{7 \pi}{4}\right]: \sin x-\cos x=1\right\}$$ | (S) has five elements |
(T) has six elements |
The correct option is:
3
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Let f(x) = sin($$\pi $$ cos x) and g(x) = cos(2$$\pi $$ sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order:
X = {x : f(x) = 0}, Y = {x : f'(x) = 0}
Z = {x : g(x) = 0}, W = {x : g'(x) = 0}
List - I contains the sets X, Y, Z and W. List - II contains some information regarding these sets.
![JEE Advanced 2019 Paper 2 Offline Mathematics - Trigonometric Functions & Equations Question 14 English](https://app-content.cdn.examgoal.net/fly/@width/image/1kwzfqd3d/806eedaa-5b45-4254-b67b-dd605978aa3e/b542b480-5931-11ec-8549-cdf1b14d394a/file-1kwzfqd3e.png?format=png)
Which of the following is the only CORRECT combination?
X = {x : f(x) = 0}, Y = {x : f'(x) = 0}
Z = {x : g(x) = 0}, W = {x : g'(x) = 0}
List - I contains the sets X, Y, Z and W. List - II contains some information regarding these sets.
![JEE Advanced 2019 Paper 2 Offline Mathematics - Trigonometric Functions & Equations Question 14 English](https://app-content.cdn.examgoal.net/fly/@width/image/1kwzfqd3d/806eedaa-5b45-4254-b67b-dd605978aa3e/b542b480-5931-11ec-8549-cdf1b14d394a/file-1kwzfqd3e.png?format=png)
Which of the following is the only CORRECT combination?
4
JEE Advanced 2019 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Let f(x) = sin($$\pi $$ cos x) and g(x) = cos(2$$\pi $$ sin x) be two functions defined for x > 0. Define the following sets whose elements are written in the increasing order :
X = {x : f(x) = 0}, Y = {x : f'(x) = 0}
Z = {x : g(x) = 0}, W = {x : g'(x) = 0}
List - I contains the sets X, Y, Z and W. List - II contains some information regarding these sets.
![JEE Advanced 2019 Paper 2 Offline Mathematics - Trigonometric Functions & Equations Question 13 English](https://app-content.cdn.examgoal.net/fly/@width/image/1kwzfqd3d/806eedaa-5b45-4254-b67b-dd605978aa3e/b542b480-5931-11ec-8549-cdf1b14d394a/file-1kwzfqd3e.png?format=png)
Which of the following combinations is correct?
X = {x : f(x) = 0}, Y = {x : f'(x) = 0}
Z = {x : g(x) = 0}, W = {x : g'(x) = 0}
List - I contains the sets X, Y, Z and W. List - II contains some information regarding these sets.
![JEE Advanced 2019 Paper 2 Offline Mathematics - Trigonometric Functions & Equations Question 13 English](https://app-content.cdn.examgoal.net/fly/@width/image/1kwzfqd3d/806eedaa-5b45-4254-b67b-dd605978aa3e/b542b480-5931-11ec-8549-cdf1b14d394a/file-1kwzfqd3e.png?format=png)
Which of the following combinations is correct?
Questions Asked from Trigonometric Functions & Equations (MCQ (Single Correct Answer))
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