CBSE Class 12 Sample Paper for 2026 Boards

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

Question 15 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by

If π‘ŽΒ βƒ—=3Δ±Β Λ†+2Θ·Β Λ†+4π‘˜Β Λ†,𝑏 ⃗=Δ±Β Λ†+Θ·Β Λ†βˆ’3π‘˜Β Λ† and 𝑐 ⃗=6Δ±Β Λ†βˆ’Θ·Β Λ†+2π‘˜Β Λ† are - CBSE Class 12 Sample Paper for 2026 Boards

part 2 - Question 15 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 15 If π‘Ž βƒ—=3Δ± Λ†+2Θ· Λ†+4π‘˜ Λ†,𝑏 βƒ—=𝚀 Λ†+πš₯ Λ†βˆ’3π‘˜ Λ† and 𝑐 βƒ—=6𝚀 Λ†βˆ’πš₯ Λ†+2π‘˜ Λ† are three given vectors, then (2π‘Ž βƒ—.Δ± Λ†)Δ± Λ†βˆ’(𝑏 βƒ—.Θ· Λ†)Θ· Λ†+(𝑐 βƒ—.π‘˜ Λ†)π‘˜ Λ† is same as the vector (A) π‘Ž βƒ— (B) 𝑏 βƒ—+𝑐 βƒ— (C) π‘Ž βƒ—βˆ’π‘ βƒ— (D) 𝑐 βƒ—Finding πŸπ’‚ βƒ—.𝚀 Λ†=2(3𝚀 Λ†+2πš₯ Λ†+4π‘˜ Λ† ).𝚀 Λ† =(6𝚀 Λ†+4πš₯ Λ†+8π‘˜ Λ† ).𝚀 Λ† =πŸ” And, 𝒃 βƒ—.𝒋 Λ†=(𝚀 Λ†+πš₯ Λ†βˆ’3π‘˜ Λ† ).𝑗 Λ† =𝟏 And, 𝒄 βƒ—.π’Œ Λ†=(6𝚀 Λ†βˆ’πš₯ Λ†+2π‘˜ Λ† ).π‘˜ Λ† =𝟐 Thus, (2π‘Ž βƒ—.Δ± Λ† ) Δ± Λ†βˆ’(𝑏 βƒ—.Θ· Λ† ) Θ· Λ†+(𝑐 βƒ—.π‘˜ Λ† ) π‘˜ Λ† = πŸ”πš€ Λ†βˆ’πš₯ Λ†+πŸπ’Œ Λ† = 𝒄 βƒ— So, the correct answer is (D)

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