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Question 80Asked in DSSSB TGT Computer Science (Technical), 8 Aug 2021, Shift 2

Which matrix represents rotation of an object by 30° about the origin?

  1. AR30 = [ 1/2 √3/2; √3/2 −1/2 ]
  2. BR30 = [ √3/2 −1/2; 1/2 √3/2 ]
  3. CR30 = [ −1/2 √3/2; √3/2 1/2 ]
  4. DR30 = [ √3/2 −1/2; √3/2 1/2 ]
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Correct answer: (B) R30 = [ √3/2 −1/2; 1/2 √3/2 ]

Explanation

The rotation matrix is [cosθ −sinθ; sinθ cosθ]. With cos30° = √3/2 and sin30° = 1/2, this gives [√3/2 −1/2; 1/2 √3/2].

From DSSSB TGT Computer Science PYQ (Technical), 8 Aug 2021, Shift 2

This is question 80 of DSSSB TGT Computer Science PYQ (Technical), 8 Aug 2021, Shift 2. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.