InterviewSolution
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InterviewSolution
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If `f(alpha,beta)=|(cos alpha,-sin alpha,1),(sin alpha,cos alpha,1),(cos(alpha+beta),-sin(alpha+beta),1)|,`thenA. f(300,200=f(400,200)B. f(200,400)=f(200,600)C. f(100,200)=f(200,200)D. none of these |
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Answer» Correct Answer - A::C `|{:(cos alpha,,-sin alpha,,1),(sin alpha,,cos alpha,,1),(cos (alpha+beta),,-sin(alpha+beta),,1):}|` `=|{:(cos alpha,,-sinalpha,,1),(sin alpha,,coa alpha,,1),(0,,0,,1+ sin beta -cos beta):}|` `"[Applying " R_(3) toR_(3)-R_(1) (cos beta) +R_(2) (sin beta)"]"` `=(1+sin beta -cos beta) (cos^(2) alpha+ sin^(2)alpha)` `=1+ sin beta- cos beta `which is independent of `alpha` |
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