OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos
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Prove that |(1,1,1),(bc,ca,ab),(b+c, c+a, a+b)| = (a-b)(b-c)(c-a)
Prove that |(1,a^2,bc),(a,b^2,ca),(1,c^2,ab)|=(a-b)(b-c)(c-a)
Using the Properties of determinants, prove the following: {:|(1,1,1),(a,b,c),(bc,ca,ab)|=(a-b)(b-c)(c-a)
Prove that {:[(1,ab,a+b),(1,bc,b+c),(1,ca,c+a):}]=(a-b)(b-c)(c-a)
If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1],[1,1, 1+c]|=0 , then (1)/(a)+(1)/(b)+(1)/(c)=
Prove that |{:(,1,a,a^(2)),(,1,b,b^(2)),(,1,c,c^(2)):}|=(a-b)(b-c)(c-a)
If A=[[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]] and B=[[ c_1,c_2,c_2],[a_1,a_2,a_3],[b_1,b_2,b_3]] then
a. Minimize z =-3x+4y subject to constraints. x+2yle8 3x+2yle12 xge0, yge0 by graphical method. b. Prove that {:abs((1,a,a^2),(1,b,b^2),(1,c ,c^2)):} = (a - b)(b-c)(c-a)
Let a, b, c be such that b(a+c) ne 0 . If |[a,a+1,a-1],[-b,b+1,b-1],[c,c-1,c+1]|+ |[a+1,b+1,c-1],[a-1,b-1,c+1],[(-1)^(n+2) a ,(-1)^(n+1) b ,(-1)^(n) c]|=0 then the value of n is
If |[b+c,c+a,a+b],[a+b,b+c,c+a],[c+a,a+b,b+c]|=k |[a,b,c],[c,a,b],[b,c,a]| then the value of k is
OSWAAL PUBLICATION-II PUC TOPPER ANSWERS MARCH-2016-PART - E
