The centroid of $\Delta A B C$ is $(2,7)$. If $A=(4,8), B=(a, 0)$ and $C=(0, b)$, then

JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

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Application +4 | -1

The centroid of

\Delta A B C

(2,7)

. If

A=(4,8), B=(a, 0)

and

C=(0, b)

, then

View answer and explanation

Correct option: B

a=2, b=13

Option B (

a=2, b=13

) is correct because the centroid coordinates are calculated by averaging the x and y coordinates of the vertices.

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\alpha

(\alpha, 2 \alpha)

\Delta A B C

A(0,2), B(2,0)

C(4,4)

P

2 P A=3 P B

A

(0,0)

B

(4,-3)

(1, \sqrt{3}),(0,0)

(2,0)

(1,5),(-3,1) \,\&\,(-2,1)

9 x^2-16 y^2-18 x+32 y-23

=0

25 x^2+9 y^2-50 x-18 y+33=0

(0,0)(3,0)

(0,4)