The distances of the point (1,2,3) from the coordinate area are A, B, and C respectively now consider the following equations
$(1) A^{2} = B^{2} + C^{2} (2) B^{2} = 2 C^{2} (3) 2 A^{2} C^{2} = 13 B^{2}$
Which of these holds true?

1 only

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1 and 3

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1 and 2

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2 and 3

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Solution

The correct option is D
2 and 3

$A = \sqrt{(2)^{2} + (3)^{2}} = \sqrt{13} B = \sqrt{(1)^{2} + (3)^{2}} = \sqrt{10} C = \sqrt{(1)^{2} + (2)^{2}} = \sqrt{5}$
Value of A,B& c sosatisfy 2&3.

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The distances of the point (1,2,3) from the coordinate area are A, B, and C respectively now consider the following equations (1)A2=B2+C2 (2) B2=2C2 (3) 2A2C2=13B2 Which of these holds true?

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The distances of the point (1,2,3) from the coordinate area are A, B, and C respectively now consider the following equations
$(1) A^{2} = B^{2} + C^{2} (2) B^{2} = 2 C^{2} (3) 2 A^{2} C^{2} = 13 B^{2}$
Which of these holds true?

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$A = \sqrt{(2)^{2} + (3)^{2}} = \sqrt{13} B = \sqrt{(1)^{2} + (3)^{2}} = \sqrt{10} C = \sqrt{(1)^{2} + (2)^{2}} = \sqrt{5}$
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