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KCET2021MathematicsThree Dimensional Geometry

The equation of the line joining the points (-3,4,11) and (1,-2,7) is

Options

  1. Ax+3 2 = y-4 3 = z-11 4
  2. Bx+3 -2 = y-4 3 = z-11 2
  3. Cx+3 -2 = y+4 3 = z+11 4
  4. Dx+3 2 = y+4 -3 = z+11 2

Correct answer

B. x+3 -2 = y-4 3 = z-11 2

Step-by-step solution

Given, points are (-3,4,11) and (1,-2,7) . Let A(-3,4,11) and B(1,-2,7) Direction ratios of A B=1-(-3),-2-4,7-11=4,-6,-4=-2,3,2 Now, we have one point (-3,4,11)= (x₁, y₁, z₁ ) and direction ratios (a, b, c)=-2,3,2 Equation of line : aligned & x-x₁ a = y-y₁ b = z-z₁ c x+3 -2 &= y-4 3 = z-11 2 aligned

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