Three Dimensional Geometry

Section: Mathematics

Question : 2 of 35

Marks: +1, -0

A straight line drawn from the point P(1,3,2), parallel to the line ‌

x−2

=‌

y−4

=‌

z−6

, intersects the plane L1:x −y+3z=6 at the point Q. Another straight line which passes through Q and is perpendicular to the plane L1 intersects the plane L2:2x−y+z=−4 at the point R. Then which of the following statements is(are) TRUE?

[JEE Adv 2024 P2]

The length of the line segment PQ is √6
The coordinates of R are (1,6,3)
The centroid of the triangle PQR is (‌
4
3
,‌
14
3
,‌
5
3
)
The perimeter of the triangle PQR is √2+√6+√11

Validate

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