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The point P is the intersection of the s...

The point P is the intersection of the straight line joining the points `Q(2,3,5)` and `R(1,-1,4)` with the plane `5x - 4y -z = 1`. If S is the foot of the perpendicular drawn from the point `T(2,1,4)` to QR, then the length of the line segment PS is (A) `1/sqrt2` (B) `sqrt2` (C) ` 2` (D) `2sqrt2`

Answer

Step by step text solution for The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1,-1,4) with the plane 5x - 4y -z = 1. If S is the foot of the perpendicular drawn from the point T(2,1,4) to QR, then the length of the line segment PS is (A) 1/sqrt2 (B) sqrt2 (C) 2 (D) 2sqrt2 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • A straight line joining the point (1, 1, 1) and (0, 0, 0) intersects the plane 2x + 2y + z = 10 at-

    A
    `(1, 2, 5)`
    B
    `(2, 2,2)`
    C
    `(2, 1, 5)`
    D
    `(1, 1,6)`

  • The foot of the perpendicular drawn from the point (1,8,4) on the line joining the points (0,-11,4) and (2,-3,1) is

    A
    `(4,5,2)`
    B
    `(-4,5,2)`
    C
    `(4,-5,2)`
    D
    `(4,5,-2)`

  • The coordinates of the point were the line joining the points (2,-3,1) and (3,4,-5) meets the xy plane are___

    A
    `(-(13)/(6),(11)/(6),0)`
    B
    `((13)/(6),(11)/(6),0)`
    C
    `((13)/(6),(11)/(6),0)`
    D
    none of these

    • Similar Questions

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    The straight line joining the points ( 3 , 4 , 3) and ( 2 , 1 , 5) intersects the plane 2 x + 2y - 2z = 1 at P , find the coordinates of P .

    Find the length of the perpendicular drawn from point (2,3,4) to line (4-x)/2=y/6=(1-z)/3dot

    Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

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