JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy

1 of 1

Application +4 | -1

The orthocenter of the triangle with vertices

O\left( {0,\;0} \right),\;A\left( {0,\frac{3}{2}} \right),\;B\left( { - 5,\;0} \right)

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Correct option: D

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

Option D ((0, 0)) is correct because the orthocenter of a right-angled triangle is the vertex at the right angle, which is the origin in this case.

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\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\}

y = 2\;x + 4

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