Q79. cos x sin x sin x The number of distinct real roots of the equation, sin x cos x sin x = 0 in the interval [−π4 , π4 ] is : sin x sin x cos x (1) 1 (2) 4 (3) 2 (4) 3
What This Question Tests
This question tests the ability to evaluate a 3x3 determinant by using row/column operations to simplify it, leading to a product of factors. Each factor then forms a trigonometric equation to be solved within the given interval.
Concepts Tested
Formulas Used
Determinant expansion
cos x + 2 sin x = 0
cos x - sin x = 0
📚 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.
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
📋 Question Details
- Chapter
- Determinants
- Topic
- Solving determinant equations
- Year
- 2016
- Shift
- 09 Apr Online
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 4: Determinants
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