Elementary Properties and Identities MCQ Quiz in বাংলা - Objective Question with Answer for Elementary Properties and Identities - বিনামূল্যে ডাউনলোড করুন [PDF]

Last updated on Mar 19, 2025

পাওয়া Elementary Properties and Identities उत्तरे आणि तपशीलवार उपायांसह एकाधिक निवड प्रश्न (MCQ क्विझ). এই বিনামূল্যে ডাউনলোড করুন Elementary Properties and Identities MCQ কুইজ পিডিএফ এবং আপনার আসন্ন পরীক্ষার জন্য প্রস্তুত করুন যেমন ব্যাঙ্কিং, এসএসসি, রেলওয়ে, ইউপিএসসি, রাজ্য পিএসসি।

Latest Elementary Properties and Identities MCQ Objective Questions

Elementary Properties and Identities Question 1:

যদি sin-1 x + sin-1 y = \(\rm \frac{3\pi}{4}\) , তাহলে cos-1 x + cos-1 y = ? . 

  1. -3π/4
  2. π/4
  3. -π/4
  4. 3π/2

Answer (Detailed Solution Below)

Option 2 : π/4

Elementary Properties and Identities Question 1 Detailed Solution

অনুসৃত ধারণা:

sin-1 x + cos-1 x = \(\rm \frac{π}{2}\)

গণনা:

sin-1 x + sin-1 y = \(\rm \frac{3π}{4}\)

\(\rm \left ( \frac{π}{2} -cos^{-1}x\right ) + \left ( \frac{π}{2}- cos^{-1}y\right ) = \frac{3π}{4}\)

⇒ π - ( cos-1 x + cos-1 y ) = \(\rm \frac{3π}{4}\)

cos-1 x + cos-1 y = \(\rm\frac{\pi}{4}\)

সঠিক বিকল্প হল 2

Top Elementary Properties and Identities MCQ Objective Questions

যদি sin-1 x + sin-1 y = \(\rm \frac{3\pi}{4}\) , তাহলে cos-1 x + cos-1 y = ? . 

  1. -3π/4
  2. π/4
  3. -π/4
  4. 3π/2

Answer (Detailed Solution Below)

Option 2 : π/4

Elementary Properties and Identities Question 2 Detailed Solution

Download Solution PDF

অনুসৃত ধারণা:

sin-1 x + cos-1 x = \(\rm \frac{π}{2}\)

গণনা:

sin-1 x + sin-1 y = \(\rm \frac{3π}{4}\)

\(\rm \left ( \frac{π}{2} -cos^{-1}x\right ) + \left ( \frac{π}{2}- cos^{-1}y\right ) = \frac{3π}{4}\)

⇒ π - ( cos-1 x + cos-1 y ) = \(\rm \frac{3π}{4}\)

cos-1 x + cos-1 y = \(\rm\frac{\pi}{4}\)

সঠিক বিকল্প হল 2

Elementary Properties and Identities Question 3:

যদি sin-1 x + sin-1 y = \(\rm \frac{3\pi}{4}\) , তাহলে cos-1 x + cos-1 y = ? . 

  1. -3π/4
  2. π/4
  3. -π/4
  4. 3π/2

Answer (Detailed Solution Below)

Option 2 : π/4

Elementary Properties and Identities Question 3 Detailed Solution

অনুসৃত ধারণা:

sin-1 x + cos-1 x = \(\rm \frac{π}{2}\)

গণনা:

sin-1 x + sin-1 y = \(\rm \frac{3π}{4}\)

\(\rm \left ( \frac{π}{2} -cos^{-1}x\right ) + \left ( \frac{π}{2}- cos^{-1}y\right ) = \frac{3π}{4}\)

⇒ π - ( cos-1 x + cos-1 y ) = \(\rm \frac{3π}{4}\)

cos-1 x + cos-1 y = \(\rm\frac{\pi}{4}\)

সঠিক বিকল্প হল 2

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