The locus of the orthocentre of the triangle formed by the lines and where is |
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a) |
A hyperbola |
b) |
A parabola |
c) |
An ellipse |
d) |
A straight line |

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

**(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

127