Q260 / 270 · NDA 2020 · Mathematics

What is the equation of the plane which cuts an intercept 5 units on the $z$-axis and is parallel to $x y$-plane?

  • A
    $x+y=5$
  • Correct answer
    B
    $z=5$
  • C
    $z=0$
  • D
    $x+y+z=5$

Solution

Equation of the plane which cuts an intercept 5 units on the $z$-axis and is parallel to $x y$-plane, is $z=5, y=0, x=0$.

Hence, the correct answer is option: 'B'.

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