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CBSE Class 12-science Answered

I f space space space open vertical bar table row a b cell space space space a x plus b y end cell row b c cell space space space b x plus c y end cell row cell z minus y space end cell cell space space x minus y end cell 0 end table close vertical bar space space space equals space 0 space comma space t h e n space p r o v e space t h a t space a comma b comma c space a r e space i n space G. P. space O R space x comma y comma z space a r e space i n space G. P. space space left square bracket space W I T H space E X P L A N A T I O N right square bracket
Asked by yash.bisht9910 | 12 Jun, 2015, 01:07: PM
answered-by-expert Expert Answer
E x p a n d i n g space t h e space d e t e r m i n a n t comma space w e space g e t space fraction numerator 1 over denominator x y end fraction open square brackets b y open parentheses b x plus c y close parentheses open parentheses z x minus y squared close parentheses minus c y open parentheses a x plus b y close parentheses open parentheses z x minus y squared close parentheses close square brackets equals 0 rightwards double arrow fraction numerator 1 over denominator x y end fraction open parentheses z x minus y squared close parentheses y open square brackets b open parentheses b x plus c y close parentheses minus c open parentheses a x plus b y close parentheses close square brackets equals 0 rightwards double arrow fraction numerator 1 over denominator x y end fraction open parentheses z x minus y squared close parentheses y open square brackets b squared x minus a c x close square brackets equals 0 rightwards double arrow fraction numerator 1 over denominator x y end fraction x y open parentheses z x minus y squared close parentheses open parentheses b squared minus a c close parentheses equals 0 rightwards double arrow open parentheses z x minus y squared close parentheses open parentheses b squared minus a c close parentheses equals 0 rightwards double arrow z x equals y squared space o r space a c equals b squared rightwards double arrow e i t h e r space x comma y comma z space a r e space i n space G. P. space o r space a comma b comma c space a r e space i n space G. P. space left parenthesis P r o v e d. right parenthesis
Answered by satyajit samal | 14 Jun, 2015, 08:04: AM

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CBSE 12-science - Maths
X+y+4z=6 X+2y-2z=6 λx+y+z=6  How do you find the value of λ?
Asked by tejaswinimogal12 | 26 Sep, 2023, 08:17: AM
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CBSE 12-science - Maths
open vertical bar table row cell left parenthesis straight b plus straight c right parenthesis hat 2 end cell ab ca row ab cell left parenthesis straight a plus straight c right parenthesis hat 2 end cell bc row ac bc cell left parenthesis straight a plus straight b right parenthesis hat 2 end cell end table close vertical bar equals 2 abc left parenthesis straight a plus straight b plus straight c right parenthesis hat 3
Asked by indupremachandran | 26 May, 2019, 01:08: PM
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CBSE 12-science - Maths
If A is a 2×2 matrix such that|A|= 5. Find |4A|
Asked by denpeter4 | 30 Apr, 2019, 01:30: PM
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CBSE 12-science - Maths
Using the properties of determinants,prove that  open vertical bar table row 1 cell straight a squared plus bc end cell cell straight a cubed end cell row 1 cell straight b plus ca end cell cell straight b cubed end cell row 1 cell straight i squared plus ab end cell cell straight C cubed end cell end table close vertical bar = -(a-b)(b-c)(c-a)(a3+b3+c3)   Pls note it is c instead of  i 
Asked by lekhakarthikeyan | 27 Dec, 2018, 02:23: AM
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CBSE 12-science - Maths
evaluate (solve each and every part) each determinant 67    19        21                          29      26       22                       102     18    36                     39    13        14               (b)      25      31       27        (c)               1        3    4             81    24        26                          63      54       46                         17        3     6   (d)  12   22   32 22    32   42 32     42  52
Asked by haroonrashidgkp | 10 Apr, 2018, 08:44: PM
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CBSE 12-science - Maths
(x-2)2                    (x-1)2                   x2 (X-1)2                       X2                   (x + 1)2                           =  -8 X2                      (x + 1)2                  (x + 2)2
Asked by haroonrashidgkp | 10 Apr, 2018, 08:35: PM
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CBSE 12-science - Maths
Express the system of linear equations in matrix form: a1x + b1y + c1z = d1, a2x + b2y + c2z = d2 and a3x + b3y + c3z = d3
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Write the conditions for a solution of a system of linear equations AX = B.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Write the given system of linear equations in matrix form. 2x – 3y = 1, x + 3z = 11 and x + 2y + z = 7.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find whether the system of linear equation has a unique solution or not. 5x – 10y = 4 and x – 2y = 8.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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