InterviewSolution
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InterviewSolution
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Value of `|x+y z z x y+z x y y z+x|,w h e r ex ,y ,z`are nonzero real number, is equal to`x y z`b. `2x y z`c. `3x y z`d. `4x y z`A. xyzB. 2xyzC. 3xyzD. 4xyz |
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Answer» Correct Answer - D Applying `R_(1) to R_(1) -(R_(2) +R_(3))` we get `D = |{:(0,,-2y,,-2x),(x,,y+z,,x),(y,,y,,z+x):}| ` `=2|{:(0,,-y,,-x),(x,,y+z,,x),(y,,y,,z+x):}|` `=2 |{:(0,,-y,,-x),(x,,z,,0),(y,,0,,z):}|" " underset(R_(3) to R_(3) +R_(1))((R_(2) to R_(2)+R_(1) " and "))` `=4xyz` |
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