WBJEE · Maths · Functions
Let \(f(x)=\sin x+\cos a x\) be periodic function. Then
- A 'a' is any real number
- B 'a' is any irrational number
- C 'a' is rational number
- D \(a=0\)
Answer & Solution
Correct Answer
(C) 'a' is rational number
Step-by-step Solution
Detailed explanation
Hint: LCM of rational multiple of same irrational is defined
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
- In a triangle \(\mathrm{ABC}\) if \(\sin \mathrm{A} \sin \mathrm{B}=\frac{\mathrm{ab}}{\mathrm{c}^2}\), then the triangle isWBJEE 2009 Easy
- If \(\alpha, \beta\) be the roots of the quadratic equation \(\mathrm{x}^2+\mathrm{x}+1=0\) then the equation whose roots are \(\alpha^{19}, \beta^7\) isWBJEE 2010 Hard
- If \(z_1\) and \(z_2\) be two roots of the equation \(z^2+a z+b=0, a^2 \lt 4 b\), then the origin, \(z_1\) and \(z_2\) form an equilateral triangle ifWBJEE 2024 Hard
- If one of the diameters of the curve \(x^{2}+y^{2}-4 x-6 y+9=0\) is a chord of a circle with centre \((1,1),\) the radius of this circle isWBJEE 2017 Easy
- If \(\mathrm{f}(5)=7\) and \(\mathrm{f}^{\prime}(5)=7\) then \(\underset{x \rightarrow 5}{ } \frac{x f(5)-5 f(x)}{x-5}\) is given byWBJEE 2010 Easy
- \(\mathrm{A}=\{1,2,3,4\}, \mathrm{B}=\{1,2,3,4,5,6\}\) are two sets, and function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}\) is defined by \(\mathrm{f}(\mathrm{x})=\mathrm{x}+2 \forall \mathrm{x} \in \mathrm{A}\), then the function \(\mathrm{f}\) isWBJEE 2010 Easy
More PYQs from WBJEE
- The locus of the middle points of all chords of the parabola \(y^2=4\) ax passing through the vertex isWBJEE 2011 Easy
- Friedel-Craft's reaction using MeCl and anhydrous AlCl \(_{3}\) will take place most efficiently withWBJEE 2012 Medium
- A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of \(2 \times 10^{-3}\), then the percentage change in volume isWBJEE 2011 Easy
- The value of \(\cos 15^{\circ} \cos 7 \frac{1^0}{2} \sin 7 \frac{1^0}{2}\) isWBJEE 2009 Easy
- There are two coins, one unbiased with probaility \(\frac{1}{2}\) or getting heads and the other one is biased with probability \(\frac{3}{4}\) of getting heads. A coin is selected at random and tossed. It shows heads up. Then, the probability that the unbiased coin wa selected isWBJEE 2013 Easy
- The intensity of magnetization of a bar magnet is \(5.0 \times 10^{4} \mathrm{Am}^{-1}\). The magnetic length and the area of cross-section of the magnet are \(12 \mathrm{cm}\) and \(1 \mathrm{cm}^{2}\) respectively. The magnitude of magnetic moment of this bar magnet is (in SI unit)WBJEE 2014 Easy