JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

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Analyzing +4 | -1

O'\left( {4,\;8/3} \right)

is the orthocentre of the triangle

ABC

the coordinates of whose vertices are

O\left( {0,0} \right),A\left( {8,0} \right)

and

B\left( {4,6} \right),

then the coordinates of the orthocentre of

\Delta \;O'AB

are

View answer and explanation

Correct option: A

\left( {0,\;0} \right)

Option A ((0, 0)) is correct because if O' is the orthocenter of triangle ABC, then O, A, B, and O' are such that each point is the orthocenter of the triangle formed by the remaining three points.

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