PYQ Vault
EbooksTutor

Line through P(2,-1,2) equally inclined to the axes meets the plane 2x + y + z = 9 at Q: find PQ

The same question, asked 2 times: 16 May 2023 S1, 14 May 2024 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    16 May 2023 S1

    120
    A line with positive direction cosines passes through the point P(2,−1,2)P(2,-1,2) and makes equal angles with coordinate axes. The line meets the plane 2x+y+z=92x+y+z=9 at point Q. Then the length of the line segment PQ equals

    Tap an option to check your answer.

  2. Question 2

    14 May 2024 S1

    130
    A line with positive direction cosines passes through the point P(2,−1,2)P(2,-1,2) and makes equal angles with the co-ordinate axes. The line meets the plane 2x+y+z=92x+y+z=9 at point QQ. The length of the line segment PQPQ equals

    Tap an option to check your answer.