JEE Main 2021MathematicsTrigonometric Ratios & IdentitiesMediumNumerical

JEE Main 2021 — Trigonometric Ratios & Identities Question with Solution

JEE Main 2021 (26 Feb Shift 1)

Question

The number of integral values of k for which the equation 3sinx+4cosx=k+1 has a solution, k∈R is _______.

Enter your answer

Show full solutionCorrect answer: 11
Correct answer
11

Step-by-step explanation

3sinx+4cosx=k+1

⇒k+1∈-32+42,32+42

⇒k+1∈-5,5

⇒k∈-6,4

No. of integral values of k=11

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Trigonometric Ratios & Identities chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2021, covering the Trigonometric Ratios & Identities chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.