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The locus of the orthocentre of the triangle formed by the lines  and where  is

a)

A hyperbola

b)

A parabola

c)

An ellipse

d)

A straight line



Question ID - 52943 | SaraNextGen Top Answer

The locus of the orthocentre of the triangle formed by the lines  and where  is

a)

A hyperbola

b)

A parabola

c)

An ellipse

d)

A straight line

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

Given, lines are  …(i)

….(ii)

on solving Eqs. (i) and (ii), we get

 Equation of altitude  passing through  and perpendicular to  is

  …(iii)

Let orthocentre of triangle be , which is the point of intersection of Eqs. (iii) and (iv).

 On solving Eqs. (iii) and (iv), we get

Locus of  is .

 

127 votes


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