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Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

If (2i + 6j + 27k ) Γ— (i + pj + qk ) = 0 , then the values of p and q are?

(a) p = 6, q = 27Β  Β  Β  Β  Β  Β  Β  Β  Β  (b) p = 3, q = 27/2Β Β 

(c) p = 6, q = 27/2Β  Β  Β  Β  Β  Β  Β  Β (d) p = 3,Β  q = 27

If (2i + 6j + 27k ) x (i + pj + qk ) = 0 , then the values of p and q

Question 3 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2


Transcript

Question 3 If (2𝑖 Μ‚ + 6𝑗 Μ‚ + 27π‘˜ Μ‚ ) Γ— (𝑖 Μ‚ + p𝑗 Μ‚ + qπ‘˜ Μ‚) = 0 βƒ— , then the values of p and q are? (a) p = 6, q = 27 (b) p = 3, q = 27/2 (c) p = 6, q = 27/2 (d) p = 3, q = 27 Given (2𝑖 Μ‚ + 6𝑗 Μ‚ + 27π‘˜ Μ‚ ) Γ— (𝑖 Μ‚ + p𝑗 Μ‚ + qπ‘˜ Μ‚) = 0 βƒ— Therefore, |β– 8(𝑖 Μ‚&𝑗 Μ‚&π‘˜ Μ‚@2&6&27@1&𝑝&π‘ž)|=0𝑖 Μ‚+0𝑗 Μ‚+0π‘˜ Μ‚ 𝑖 Μ‚(6q – 27p) – 𝑗 Μ‚(2q – 27) + π‘˜ Μ‚(2p – 6) = 0𝑖 Μ‚+0𝑗 Μ‚+0π‘˜ Μ‚ Comparing 6q – 27p = 0 2q – 27 = 0 2q = 27 q = 27/2 2p – 6 = 0 2p = 6 p = 6/2 = 3 Therefore, p = 3, q = πŸπŸ•/𝟐 So, (b) is the correct answer

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.