JEE MATHEMATICS MCQ: 3D GEOMETRY SYSTEM

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Application +4 | -1

A plane passes through the point

(1,1,1)

cuts the coordinate axes at

\mathrm{A}, \mathrm{B} \& \mathrm{C}

respectively such that

\mathrm{OA}=\mathrm{OB}=\mathrm{OC}

, where

\mathrm{O}

is the origin and volume of tetrahedron

\mathrm{OABC}

\lambda

then value of

2 \lambda

is equal to

View answer and explanation

Correct option: A

Option A (9) is correct because the volume of the tetrahedron is calculated using the intercepts and then doubled.

More Questions from 3D GEOMETRY SYSTEM

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\left( { - 10,\;8} \right)

\left( { - 6,\;12} \right)

\left( {4,\; - 2} \right)

\left( { - 2,\;4} \right)

y z

(1,-2,4)

(3,-4

5)

p

2 x+y-3=0

3 x-y-2=0

x-p y+5=0

O\left( {0,0} \right),A\left( {a,0} \right)

B\left( {0,a} \right).

A(1,0,3)

B(4,7,1)

C(3,5,3)

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}, \frac{x}{2}=\frac{y}{1}=\frac{z}{3}

\frac{x-1}{1}=\frac{2-y}{2}, z=3