Last Updated On [03-11-2023]
The equation of an altitude of an equilateral triangle is 
and one of the vertices is 
The possible number of triangle is
a)
1
b)
2
c)
3
d)
4
The equation of an altitude of an equilateral triangle is and one of the vertices is
The possible number of triangle is
a)
1
b)
2
c)
3
d)
4
Question ID - 55405 :-
The equation of an altitude of an equilateral triangle is and one of the vertices is
The possible number of triangle is
a)
1
b)
2
c)
3
d)
4
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The equation of an altitude of an equilateral triangle is |
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The possible number of triangle is |
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a) |
1 |
b) |
2 |
c) |
3 |
d) |
4 |
(b)
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Let the triangle be 
with 
and altitude drawn through vertex (meeting 
at 
) be 
. If 
is 
, then we have
And coordinates of 
is 
. Let coordinates of vertex 
be 
. Then,
Hence, the remaining vertices are (0, 0) and 
or 
and 
. Also, the orthocenter is 
or (2, 0)
Next Question :
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For points |
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The set of points |
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a) |
One straight line only |
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b) |
Union of two line segments |
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c) |
Union of two infinite rays |
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d) |
Union of a line segment of finite length and an infinite ray |
and 
of the coordinate plane, a new distance 
is defined by 
. Let 
and 
. Consider the set of points 
in the first quadrant which are equidistant (with respect to the new distance) from 
and 
consists ofView Topper Answer
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