Q67. sin x cos x cos x The number of distinct real roots of cos x sin x cos x = 0 in the interval −π4 ≤x ≤π4 is: cos x cos x sin x (1) 4 (2) 1 (3) 2 (4) 3
What This Question Tests
This question involves expanding a 3x3 determinant, simplifying the resulting trigonometric equation, and finding the number of roots in a given interval.
Concepts Tested
Formulas Used
Determinant expansion for 3x3 matrix
sin^2 x - cos^2 x = -cos(2x)
📚 NCERT Sections This Tests
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
5.15 — Discuss The Nature Of Bonding In The Following Coordination Entities On The
Chemistry Class 11 · Chapter 5
5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4– (ii) [FeF6] 3– (iii) [Co(C2O4)3]3– (iv) [CoF6] 3–
📋 Question Details
- Chapter
- Determinants
- Topic
- Roots of a determinant equation
- Year
- 2021
- Shift
- 25 Jul Shift 2
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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