Prove the identities: `|[a^2,a^2-(b-c)^2,b c], [b^2,b^2-(c-a)^2,c a],[ c^2,c^2-(a-b)^2,a b]|=(a-...

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Find the value of (a+b)^2/(b-c)(c-a)+(b+c)^2/(a-b)(c-a)+(c+a)^2/(a-b)(b-c) (a) -1 (b) 0 (c) 1 Find the value of (a+b)^2/(b-c)(c-a)+(b+c)^2/(a-b)(c-a)+(c+a)^2/(a-b)(b-c) (a) -1 (b) 0 (c) 1
Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[ 1 ... Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[ 1 ...
By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(... By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(...
If G be the centroid of a triangle A B C, prove that: A B^2+B C^2+C A^2=3(G A^2+G B^2+G C^2) If G be the centroid of a triangle A B C, prove that: A B^2+B C^2+C A^2=3(G A^2+G B^2+G C^2)
If a, b, c are all non-zero and a+b+c=0, prove that a^2/b c+b^2/c a+c^2/a b=3. (PV If a, b, c are all non-zero and a+b+c=0, prove that a^2/b c+b^2/c a+c^2/a b=3. (PV
If roots of the equation(b-c)x²+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c|@Sk Wonder Kids. If roots of the equation(b-c)x²+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c|@Sk Wonder Kids.