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Let a,b,c, be any real number. Suppose t...

Let a,b,c, be any real number. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z=bx+ay. Then
`a^(2)+b^(2)+c^(2)` +2abc is equal to

A

1

B

2

C

`-1`

D

0

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-UNIT TEST PAPER NO - 4 -SELECT THE CORRECT ANSWER
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  8. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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  9. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

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  14. if A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alph...

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  18. If a gt 0 and discriminant of ax^(2) + 2bx + c is negative, then Del...

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  19. If l,m,n are the pth, qth, rth terms respectively of a G.P.(l,m,ngt0) ...

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  20. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

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