Vedclass
Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMaximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

If $\sin \theta + \sqrt{3} \cos \theta = 6x - x^2 - 11$,where $x \in R$ and $0 \le \theta \le 2\pi$,then the equation has a solution for:

  • A
    one value of $x$
  • B
    two values of $x$
  • C
    infinite values of $x$
  • D
    no value of $x$
Share

Explore More

Browse All

Question Bank

11

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Trigonometrical Ratios, Functions and Identities

Subtopic

Maximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

Similar Questions

If $\cos 2B = \frac{\cos(A + C)}{\cos(A - C)}$,then $\tan A, \tan B, \tan C$ are in

Medium
View Solution

The least value of $(\cos^{2}\theta - 6\sin\theta \cos\theta + 3\sin^{2}\theta + 2)$ is:

MediumJEE MAIN 2026
View Solution

The minimum value of $\cos 2\theta + \cos \theta$ for real values of $\theta$ is

Medium
View Solution

If $A + B + C = 180^o,$ then the value of $(\cot B + \cot C)(\cot C + \cot A)(\cot A + \cot B)$ is

Medium
View Solution

$cosec^2 \theta = \frac{4xy}{(x + y)^2}$ is true if and only if

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo