Maths-
General
Easy

Question

‘L’ is a line in the space given by the Equation fraction numerator x over denominator 1 end fraction equals fraction numerator y over denominator 1 end fraction equals fraction numerator z minus 1 over denominator negative 2 end fraction and pi is a plane in the space given by the Equation x + y + z=1 then

  1. The line ‘L’ does not lie in the plane pi    
  2. The line ‘L’ lies in the plane pi    
  3. Foot of the perpendicular from (1, -2, 3) to the plane p is (2/3, -7/3, 8/3)    
  4. Foot of the perpendicular from (1, -2, 3) to the plane p is (5, -4, 0)    

The correct answer is: The line ‘L’ lies in the plane pi


    fraction numerator x minus 1 over denominator 1 end fraction equals fraction numerator y plus 2 over denominator 1 end fraction equals fraction numerator z minus 3 over denominator 1 end fraction equals negative fraction numerator open square brackets 1 close square brackets over denominator 3 end fraction

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