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 |
(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 .