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Prove that: |-2a a+b a+c b+a-2bb+cc+a c+...

Prove that: `|-2a a+b a+c b+a-2bb+cc+a c+b-2c|=4(a+b)(b+c)(c+a)`

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Using the property of determinants and without expanding, prove that: |-a^2a b a c b a b^2b cc a c b-c^2|=4a^2b^2c^2

Prove that =|1 1 1a b c b c+a^2a c+b^2a b+c^2|=2(a-b)(b-c)(c-a)

Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c)(c+a)

Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c)(c+a)

Using the property of determinants and without expanding, prove that: |[-a^2,a b, a c],[ b a, -b^2,b c],[c a, c b,-c^2]|=4a^2b^2c^2

Prove that: |(-2a , a+b, a+c),( b+a,-2b, b+c),( c+a , c+b,-2c)|=4(a+b)(b+c)(c+a)

Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

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Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. If A is square matrix such that A^2=A , then (I+A)^3-7A is equal to...

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  3. Prove that: |-2a a+b a+c b+a-2bb+cc+a c+b-2c|=4(a+b)(b+c)(c+a)

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  4. The number of ways of seven digit number with distinct digits of the f...

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  13. Prove that (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn) = (C0...

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  14. It is given that the Rolles' theorem holds for the function f(x)=x^3...

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  16. The number of solution of the equation (x+2)^(log(x+2)(6+x-x^(2)))=(x-...

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  18. If N=(1-cos4beta)/(sec^2 2beta-1)+(1+cos4beta)/(cosec^2 2beta-1) then ...

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  19. The radius of the circle touching the line x+y=4" at "(1, 3) and inter...

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  20. Bag I contains 3 red and 4 black balls while another Bag II contain...

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