JEE MATHEMATICS MCQ: 3D PLANES

1 Easy

1 of 1

Analyzing +4 | -1

In a three dimensional coordinate system

P, Q

and

R

are images of a point

A(a, b, c)

in the

X Y

they

Y Z

and the

Z X

planes respectively. If

G

is the centroid of triangle

P Q R

, then area of triangle

A O G

is (

O

is the origin)

View answer and explanation

Correct option: A

Option A (0) is correct because the points A, O, and G are collinear, resulting in a triangle with zero area.

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

p x-q y+

z=5

p, q \in \mathbb{R}

x-c y-b z=0, c x-y+a z=0

b x+a y-z=0

a^2+b^2+c^2+2 a b c

2 x-3 y+9 z=0

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4 x-2 y+7 z+9=0

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\frac{x-4}{1}=\frac{y-7}{5}=\frac{z-4}{4}

a x+

=0

\alpha

z=0

\mathrm{ax}+\mathrm{by} \pm \mathrm{z} \sqrt{\mathrm{a}^2+\mathrm{b}^2} \tan \alpha+\mathrm{c}=0

(3,2,1)

x, y

z

A, B

C

y z

A

z x

B

x y

C