JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Medium

1 of 1

Application +4 | -1

A B C

is a variable triangle with the fixed vertex

C(1,2)

and

A, B

having the coordinates

(\cos t, \sin t),(\sin t,-\cos t)

respectively, where

t

is a parameter. The locus of centroid of the

\triangle A B C

View answer and explanation

Correct option: B

3\left(x^2+y^2\right)-2 x-4 y+1=0

Option B (

3(x^2+y^2)-2x-4y+1=0

) is correct because it represents the locus of the centroid of the triangle ABC, derived by eliminating the parameter t.

More Questions from TRANSFORMATION OF AXES

Practice All Chapter MCQs →

12 x^2+7 x y-12 y^2-17 x-31 y-7=0,

3 x+4 y-5=0

xy

5{x^2} + 4\sqrt 3 \;xy + 9{y^2} - 8 = 0

\alpha=\ldots \ldots

x \cos \alpha+y \sin \alpha=p

p \neq 0

\sqrt{3}

(a b /(a-b), 0)

(a-b)\left(x^2+y^2\right)-2 a b x-0

y^2+4 y+8 x-2=0

y