Using properties of determinants, prove that |(-bc,b^2+bc,c^2+bc)(a^2+ac,-ac ,c^2+ac)(a^2+ab,b^2+ab,-ab)| = (ab+bc+ac)^3. - Sarthaks eConnect | Largest Online Education Community
![i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac. (ii) If a^(2)+ b^(2)+c^(2)=250 " and" ab+bc+ca i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac. (ii) If a^(2)+ b^(2)+c^(2)=250 " and" ab+bc+ca](https://d10lpgp6xz60nq.cloudfront.net/question-thumbnail/en_644858337.png)
i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac. (ii) If a^(2)+ b^(2)+c^(2)=250 " and" ab+bc+ca
![la? a? -(b - c)2 bc b2b2 -(c - a) ca = (a - b) (b -c) (c-a) (a + b + c) (22 +62 + ?) c2c2-(a - b)2 ab la? a? -(b - c)2 bc b2b2 -(c - a) ca = (a - b) (b -c) (c-a) (a + b + c) (22 +62 + ?) c2c2-(a - b)2 ab](https://instasolv1.s3.ap-south-1.amazonaws.com/QuestionBank/5ce4d9f97518a40e6cb7b295/solution_image.png?version=1)
la? a? -(b - c)2 bc b2b2 -(c - a) ca = (a - b) (b -c) (c-a) (a + b + c) (22 +62 + ?) c2c2-(a - b)2 ab
Prove that |(bc-a^2 ca-b^2 ab-c^2), (ca-b^2 ab-c^2 bc-a^2), (ab-c^2 bc-a^2 ca-b^2)| - Sarthaks eConnect | Largest Online Education Community
Using properties of determinants, prove that |(a,b,c)(a2,b2,c2)(bc,ca,ca)| = (a-b)(b-c)(c-a)(ab+bc+ca) - Sarthaks eConnect | Largest Online Education Community
![if b c b c c a c a a b a b are in ap then show that 1 b c 1 c a 1 a b are in ap use add ab bc ca a 2 b 2 c 2 to each term - Mathematics - TopperLearning.com | m282cbrr if b c b c c a c a a b a b are in ap then show that 1 b c 1 c a 1 a b are in ap use add ab bc ca a 2 b 2 c 2 to each term - Mathematics - TopperLearning.com | m282cbrr](https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c8cae624f00ad36dffe9ec9a3da022c3.png)
if b c b c c a c a a b a b are in ap then show that 1 b c 1 c a 1 a b are in ap use add ab bc ca a 2 b 2 c 2 to each term - Mathematics - TopperLearning.com | m282cbrr
![If a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in R then find the value of the determinant |[(a+b+2)^2, a^2+b^2, 1] , [ If a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in R then find the value of the determinant |[(a+b+2)^2, a^2+b^2, 1] , [](https://d10lpgp6xz60nq.cloudfront.net/ss/web/129553.jpg)
If a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in R then find the value of the determinant |[(a+b+2)^2, a^2+b^2, 1] , [
Prove the following identities – |(b^2+c^2,ab,ac)(ba,c^2+a^2,bc)(ca,cb,a^2+b ^2)| = 4a^2b^2c^2 - Sarthaks eConnect | Largest Online Education Community
Using properties of determinants, show the following: |((b+c)^2,ab,ca),(ab,( a+c)^2,bc),(ac,bc,(a+b)^2)|=2abc(a+b+c)^3 - Sarthaks eConnect | Largest Online Education Community
How to prove [math]a^2+b^2+c^2-ab-bc-ca[/math] is non-negative for all values of [math] a, b,[/math] and [math]c - Quora
![The determinant |{:(b^2-ab, b-c, bc-ac), (a b-a^2, a-b, b^2-ab) ,(b c-c a, c-a, a b-a^2):}| equals a b c\ (b-c The determinant |{:(b^2-ab, b-c, bc-ac), (a b-a^2, a-b, b^2-ab) ,(b c-c a, c-a, a b-a^2):}| equals a b c\ (b-c](https://d10lpgp6xz60nq.cloudfront.net/ss/web/731558.jpg)
The determinant |{:(b^2-ab, b-c, bc-ac), (a b-a^2, a-b, b^2-ab) ,(b c-c a, c-a, a b-a^2):}| equals a b c\ (b-c
![if a2 b2 c2 30 and a b c 10 then find the value of ab bc ca - Mathematics - TopperLearning.com | 13911 if a2 b2 c2 30 and a b c 10 then find the value of ab bc ca - Mathematics - TopperLearning.com | 13911](http://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=2dc373a199c2e2a37df3680dd9282178.png)