BITSAT 2024Paper 1
- Exam
- BITSAT
- Year
- 2024
- Paper
- Paper 1
- Subject
- Mathematics
- Chapter
- Trigonometric Equations
BITSAT 2024 · Paper 1 · Mathematics · Trigonometric Equations
The range of (8 θ+6 θ)^2+2 is
The range of
(8sinθ+6cosθ)2+2 is
Options
- A(0,2)
- B[2,102]
- C(−∞,∞)
- D(2,1)
Correct answer
B. [2,102]
Step-by-step solution
−10≤8sinθ+6cosθ≤10⇒0≤(8sinθ+6cosθ)2≤100⇒2≤(8sinθ+6cosθ)2+2≤102
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