JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

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Application +4 | -1

A(2,3)

and

B(-2,1)

are two vertices of

a

triangle and third vertex moves on the line

2 x+3 y=9

, then the locus of the centroid of the triangle is

View answer and explanation

Correct option: A

2 x+3 y=1

The correct answer is A (

2 x+3 y=1

) because it represents the locus of the centroid of the triangle, derived by substituting the coordinates of the third vertex on the given line into the centroid formula.

More Questions from STRAIGHT LINES

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If the three lines

x-3 y=p, a x+2 y=q

and

a x+y=r

form a right-angled triangle then :
The orthocentre of the triangle whose vertices are

\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\}

is
The distance between the parallel lines

y = 2\;x + 4

and

6x = 3y + 5

is The distance between the pair of lines given by

{x^2} + {y^2} + 2xy - 8ax - 8ay - 9{a^2} = 0

is Find the image of the point

(3,8)

with respect of the line

x+3 y=7

assuming the line to be plane mirror: The centroid of the triangle whose three sides are given by the combined equation

\left( {{x^2} + 7xy + 2{y^2}} \right)\left( {y - 1} \right) = 0