Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Miscellaneous

Misc 1
Important

Misc 2 Important

Misc 3 Important

Misc 4

Misc 5 Important

Misc 6 Important

Misc 7

Misc 8 Important

Misc 9 Important

Misc 10 Important

Misc 11 Important You are here

Misc 12 Important

Misc 13

Misc 14 Important

Misc 15 Important

Misc 16 (MCQ)

Question 1 (a) Deleted for CBSE Board 2024 Exams

Question 1 (b) Important Deleted for CBSE Board 2024 Exams

Question 2 Deleted for CBSE Board 2024 Exams

Question 3 Important Deleted for CBSE Board 2024 Exams

Question 4 (MCQ) Important Deleted for CBSE Board 2024 Exams

Question 5 (MCQ) Important Deleted for CBSE Board 2024 Exams

Question 6 (MCQ) Deleted for CBSE Board 2024 Exams

Question 7 (MCQ) Important Deleted for CBSE Board 2024 Exams

Question 8 (MCQ) Important Deleted for CBSE Board 2024 Exams

Last updated at May 29, 2023 by Teachoo

Misc 11 Find the absolute maximum and minimum values of the function f given by f (π₯) = cos2 π₯ + sinβ‘π₯, π₯ β [0, π]f(π₯)=cos^2 π₯+sin π₯ , π₯ β [0 , π] Finding fβ(π) fβ(π₯)= π(cos^2β‘γπ₯ + sinβ‘π₯ γ )/ππ₯ = 2cos π₯. π(cos π₯)/ππ₯ + cos π₯ = 2cos π₯(βsin π₯)+cosβ‘π₯ = cos π (βππ¬π’π§ π+π) Putting fβ(π) = 0 cos π₯ (β2 sinβ‘γπ₯+1γ )=0 π₯ = π/6 , 5π/6 & π/2 are Critical points. cos π = 0 cos π₯ = 0 cos π₯ = cos π/2 π = π /π β 2 sin π + 1 = 0 β 2 sin π₯ = β1 sin π₯ = (β1)/(β2) sin π₯ = 1/2 sin π₯ = sin π/6 π = π /π Also, π = π βπ/6=ππ /π Since our interval is π β [0, π] Critical points are π₯=π, π/6 , π/2 ,5π/6,π Hence Absolute maximum value = π/π & Absolute minimum value = 1