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AP EAMCET · Maths · Three Dimensional Geometry

A(2,3,4), B(4,5,7), C(2,-6,3), D(4,-4, k) are four points. If the line AB¯ is parallel to CD¯ then k is equal to

  1. A 2
  2. B 4
  3. C 5
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(D) 6

Step-by-step Solution

Detailed explanation

AB→=4-2i^+5-3j^+7-4k^=2i^+2j^+3k^ Direction ratios 2,2,3 CD→=2i^+2j^+(k-3)k^ Direction ratios 2,2,k-3 For AB to be parallel to CD, the modulus of their direction cosines should be equal. Direction cosines of AB will be 217,217,317 And of CD will be…