MHT CET 2025 20th April Morning Shift | Three Dimensional Geometry Question 65 | Mathematics

If the plane $\frac{x}{3}+\frac{y}{2}-\frac{z}{4}=1$ cuts the co-ordinate axes at points $\mathrm{A}, \mathrm{B}$ and C , then the area of the triangle ABC is

$\frac{\sqrt{61}}{2}$ sq. units

$2 \sqrt{61}$ sq. units

$\sqrt{61}$ sq. units

$3 \sqrt{61}$ sq. units

MHT CET 2025 19th April Evening Shift

MCQ (Single Correct Answer)

-0

A plane passes through $(2,1,2)$ and $(1,2,1)$ and parallel to the line $2 x=3 y$ and $\mathrm{z}=1$, then the plane also passes through the point

$\quad(-6,2,0)$

$(6,-2,0)$

$(-2,0,1)$

$(2,0,1)$

MHT CET 2025 19th April Evening Shift

MCQ (Single Correct Answer)

-0

The equation of the plane passing through the line of intersection of the planes $x+y+z=1$ and $3 x+4 y+5 z=2$ and perpendicular to the XY- plane is

$2 x+y-3=0$

$x-2 y+3=0$

$x-3 y-2=0$

$2 x-y+6=0$

MHT CET 2025 19th April Evening Shift

MCQ (Single Correct Answer)

-0

The coordinates of the foot of the perpendicular drawn from a point $\mathrm{P}(-1,1,2)$ to the plane $2 x-3 y+z-11=0$ are

$\quad(2,-2,1)$

$\quad(2,-3,0)$

$(1,-2,3)$

$(4,1,6)$

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