If two distinct point Q, R lie on the line of intersection of the planes - x + 2y - z = 0 and 3x - 5y + 2z = 0 and PQ = PR = √(18) where the point P is (1, - 2, 3), then the area of the triangle PQR is equal to:

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Morning shift · Q2442

JEE Main 202228 Jun, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If two distinct point Q, R lie on the line of intersection of the planes

- x + 2y - z = 0

and

3x - 5y + 2z = 0

and

PQ = PR = \sqrt {18}

where the point P is (1,

-

2, 3), then the area of the triangle PQR is equal to :

JEE Main 2022 · 28 Jun, Morning shift · Q2442

JEE Main 202228 Jun, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If two distinct point Q, R lie on the line of intersection of the planes

- x + 2y - z = 0

and

3x - 5y + 2z = 0

and

PQ = PR = \sqrt {18}

where the point P is (1,

-

2, 3), then the area of the triangle PQR is equal to :