Prove: |(a^2,b c, a c+c^2),(a^2+a b,b^2,a c ),(a b,b^2+b c,c^2)|=4a^2b^2c^2 | 12 | DETERMINANTS ...

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prove that det(a^2 bc ac+c^2 , a^2+ab b^2 ac , ab b^2+bc c^2)=4(a^2b^2c^2) prove that det(a^2 bc ac+c^2 , a^2+ab b^2 ac , ab b^2+bc c^2)=4(a^2b^2c^2)
prove that det(a^2 bc ac+c^2 , a^2+ab b^2 ac , ab b^2+bc c^2)=4(a^2b^2c^2)#determinantsclass12 prove that det(a^2 bc ac+c^2 , a^2+ab b^2 ac , ab b^2+bc c^2)=4(a^2b^2c^2)#determinantsclass12
Determinants,|a^2 bc c^2+ac| |a^2+ab b^2 ca| |ab b^2+bc c^2|=4a62b^2c^2 Determinants,|a^2 bc c^2+ac| |a^2+ab b^2 ca| |ab b^2+bc c^2|=4a62b^2c^2
Prove that `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`... Prove that `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`...
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If a+b+c=0 find the value ab/a²+ab+b² +bc/b²+bc+c² +ca/c²+ca+a² If a+b+c=0 find the value ab/a²+ab+b² +bc/b²+bc+c² +ca/c²+ca+a²
Show that `Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2` | Class 12 Maths | Doubtnut Show that `Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2` | Class 12 Maths | Doubtnut
Prove that `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`... Prove that `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`...