Difficult
If the point $(2 \cos \theta, 2 \sin \theta)$ for $\theta \in (0, 2 \pi)$ lies in the region between the lines $x+y=2$ and $x-y=2$ containing the origin, then $\theta$ lies in
- A$\left(0, \frac{\pi}{2}\right) \cup \left(\frac{3 \pi}{2}, 2 \pi\right)$
- B$[0, \pi]$
- C$\left(\frac{\pi}{2}, \frac{3 \pi}{2}\right)$
- D$\left[\frac{\pi}{4}, \frac{\pi}{2}\right]$
Explore More
Similar Questions
If $A(-1,3)$ and $B(5,3)$ are points on a circle $C$ and the chord $AB$ subtends an angle $\pi / 4$ at a point $P$ on $C$,then the equation of such a circle $C$ is
DifficultTS EAMCET 2020
View SolutionThe line $4x - 3y + 2 = 0$ intersects the circle $x^2 + y^2 - 2x + 6y + c = 0$ at two points $A$ and $B$,and the length of the chord $AB = 8$. If $(1, k)$ is a point on the given circle and $k > 0$,then $k =$
The number of common tangents of the circles given by $x^2 + y^2 - 8x - 2y + 1 = 0$ and $x^2 + y^2 + 6x + 8y = 0$ is
DifficultAIEEE 2012
View SolutionThe radius of a circle whose center lies in the fourth quadrant and touches each of the three lines $x=0$,$y=0$,and $3x+4y-12=0$ is .... units.
If $(x, 3)$ and $(3, 5)$ are the extremities of a diameter of a circle with centre at $(2, y)$,then the values of $x$ and $y$ are:
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo