Ordering and Comparison — JEE Main Mathematics MCQs with Solutions
Free JEE Main Mathematics Ordering and Comparison MCQs with step-by-step solutions (5 questions). Part of Trigonometric Ratios. Practise online on Prepizo — no login needed.
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Questions with solutions
Q1 — Ordering and Comparison · hard
The arrangement of the following trig ratios in the descending order is A) sin 150° B) tan 135° C) cot 225° D) cos 270°
A. C, D, A, B ✓ Correct
B. C, A, D, B
C. B, D, A, C
D. B, A, D, C
Solution: $\cot 225° = 1$, $\sin 150° = 0.5$, $\cos 270° = 0$, $\tan 135° = -1$.
Q2 — Ordering and Comparison · hard
A = tan1, B = tan2, C = tan3, then the descending order of A, B, C is
A. A, B, C
B. C, B, A ✓ Correct
C. A, C, B
D. B, C, A
Solution: Since tan is increasing and 3 rad ≈ 172°.
Q3 — Ordering and Comparison · hard
If A = cos$\frac{3π}{4}$ - sin$\frac{3π}{4}$, B = cos$\frac{3π}{2}$ + sin$\frac{3π}{2}$, C = cos2π + sin2π, then the ascending order is
A. B, C, A
B. B, A, C ✓ Correct
C. A, B, C
D. C, B, A
Solution: $A ≈ -1.41$, $B = -1$, $C = 1$.
Q4 — Ordering and Comparison · hard
If $\frac{π}{2} < θ < π$ and $\sin θ = \frac{3}{5}$, then the ascending order of sinθ, cosθ, tanθ is
A. cosθ, sinθ, tanθ ✓ Correct
B. cosθ, tanθ, sinθ
C. sinθ, cosθ, tanθ
D. sinθ, tanθ, cosθ
Solution: In Q2: sin > 0, cos < 0, tan < 0. So cos < tan < sin.
Q5 — Ordering and Comparison · hard
If α = cos10° - sin10°, β = cos45° - sin45°, γ = cos70° - sin70°, then the descending order of α, β, γ is
A. α, β, γ ✓ Correct
B. γ, β, α
C. α, γ, β
D. β, α, γ
Solution: All are negative; compare magnitudes.