Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Trigonometry/
Question 200029
JEE Mathematics · Hard

Trigonometry: Solution count MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Solution countHardQuestion 200029

Question

The number of solutions of tan x = x in (0, π/2) is:
  1. A
    0
  2. B
    1
  3. C
    infinite
    Correct
  4. D
    2

Correct answer

infinite

Explanation

tan x grows from 0 to +∞ on (0, π/2) while x grows from 0 to π/2. They intersect infinitely many... Actually, tan x and x intersect only once in (0, π/2) counting distinct intersections. But y = tan x starts above y = x for small x? At x→0: tan x ≈ x + x³/3 > x. At x→π/2: tan x → ∞ > x. So tan x > x on entire (0, π/2) → 0 solutions. Correct answer: 0.

Review Trigonometry notesStart timed chapter practice