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Integrals

Question
CBSEENMA12036099

Statement-1 : The point A(1, 0, 7) is the mirror image of the point B(1, 6, 3) in the line: straight x over 1 space equals space fraction numerator straight y minus 1 over denominator 2 end fraction space equals space fraction numerator straight z minus 2 over denominator 3 end fraction
Statement-2: The line:straight x over 1 space equals space fraction numerator straight y minus 1 over denominator 2 end fraction space equals space fraction numerator straight z minus 2 over denominator 3 end fraction  bisects the line segment joining A(1, 0, 7) and B(1, 6, 3).

  • Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. 

  • Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. 

  • Statement-1 is true, Statement-2 is false.

  • Statement-1 is false, Statement-2 is true.

Solution

B.

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. 


Mid- point of AB ≡ M(1,3,5)
M lies on line
Direction ratios of AB is < 0, 6, - 4 >
Direction ratios of given line is < 1, 2, 3 >
As AB is perpendicular to line
∴ 0.1 + 6.2 - 4.3 = 0

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