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CBSE Class 12-science Answered

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
Expert Answer
Follow given steps to prove the question which you have posted.
 
 
i) Multiplying R1, R2 and R3 by a, b, c respectively and dividing by abc 
ii) Take a, b, c common from C1, C2 and C3 respectively.
iii) begin mathsize 16px style straight C subscript 3 rightwards arrow straight C subscript 3 minus straight C subscript 1 space and space straight C subscript 2 rightwards arrow straight C subscript 2 minus straight C subscript 1 end style
iv) (a + b + c) common from C2 and C3
v) R1 →R1 - (R2 + R3)
vi) begin mathsize 16px style straight C subscript 2 rightwards arrow straight C subscript 2 plus 1 over straight b straight C subscript 1 space and space straight C subscript 3 rightwards arrow straight C subscript 3 plus 1 over straight c straight C subscript 1 end style
Now solve using determinant.
Answered by Sneha shidid | 27 May, 2019, 10:25: 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
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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 
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