The foot of the perpendicular from a point on the circle x²+y²=1, z=0 to the plane 2 x+3 y+z=6 lies on which one of the following curves?

(B) (5 x+6 y-12)²+4(3 x+5 y-9)²=1, z=6-2 x-3 y

(A) (6 x+5 y-12)²+4(3 x+7 y-8)²=1, z=6-2 x-3 y

(C) (6 x+5 y-14)²+9(3 x+5 y-7)²=1, z=6-2 x-3 y

(D) (5 x+6 y-14)²+9(3 x+7 y-8)²=1, z=6-2 x-3 y

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Morning shift · Q2598

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

The foot of the perpendicular from a point on the circle

x^{2}+y^{2}=1, z=0

to the plane

2 x+3 y+z=6

lies on which one of the following curves?

JEE Main 2022 · 28 Jul, Morning shift · Q2598

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

The foot of the perpendicular from a point on the circle

x^{2}+y^{2}=1, z=0

to the plane

2 x+3 y+z=6

lies on which one of the following curves?