JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

If the vertices of a triangle be

(a, 1),(b, 3)

and

(4, c)

, then the centroid of the triangle will lie on

x

-axis, if

View answer and explanation

Correct option: C

c=-4

Option C (

c=-4

) is correct because the centroid of the triangle lies on the x-axis, implying the y-coordinate of the centroid is zero, leading to

c=-4

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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)