3 and 4 .Determinants and Matrices
easy

यदि $\left[ {\begin{array}{*{20}{c}}{x + y}&{2x + z}\\{x - y}&{2z + w}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}4&7\\0&{10}\end{array}} \right]$, तो $x, y, z, w$ के मान क्रमश: होंगे

A

$2, 2, 3, 4$

B

$2, 3, 1, 2$

C

$3, 3, 0, 1$

D

इनमें से कोई नहीं

Solution

दिया है , $x + y = 4$     …..$(i)$ 

तथा    $x – y = 0$         .…$(ii)$  

समी. $(i)$ व $(ii)$ को हल करने पर  $x = 2,\,y = 2$       

$\therefore$ $2x + z = 7$ 

$z = 3$ तथा $2z + w = 10$ $⇒$ $w = 4$.

Standard 12
Mathematics

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