Q88 / 150 · MHT CET 2016 · Mathematics

If line joining points A and B having positive vectors 6a→-4b→+4c→ and -4c→ respectively, and the line joining the points C and D having positive vectors -a→-2b→-3c→ and a→+2b→-5c→ intersect, then their point of intersection is

  • Correct answer
    A
    B
  • B
    C
  • C
    D
  • D
    A

Solution

λ( 6a→ −4b→ +4c→ )+( −4c→ ) λ+1 = μ( −a→ −2b→ −3c→ )+( a→ +2b→ −5c→ ) μ+1
Comparing coefficients of a→ , b→ , c→ on both sides, we get
λ=0, μ=1
⇒B is the point of intersection

Hence, the correct answer is option: 'A'.

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