Last Updated On [03-11-2023]
If two vertices of a triangle are 
and 
, orthocentre lies at the origin and centroid on the line 
, then the third vertex lies at
a)
(7, 4)
b)
(8, 14)
c)
(12, 21)
d)
None of these
If two vertices of a triangle are and , orthocentre lies at the origin and centroid on the line , then the third vertex lies at
a)
(7, 4)
b)
(8, 14)
c)
(12, 21)
d)
None of these
Question ID - 52929 :-
If two vertices of a triangle are and , orthocentre lies at the origin and centroid on the line , then the third vertex lies at
a)
(7, 4)
b)
(8, 14)
c)
(12, 21)
d)
None of these
|
If two vertices of a triangle are |
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|
a) |
(7, 4) |
b) |
(8, 14) |
c) |
(12, 21) |
d) |
None of these |
(d)
Given 
is the orthocentre. Let 
be the third vertex, 
and 
the other two vertices. Then the slope of the line through 
and 
is 
, while the lines through 
and 
has the slope 
. By the property of the orthocenter, these two lines must be perpendicular, so we have
(i)
Also, 
(ii)
Which is not satisfied by the points given in 
or 
Next Question :
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Points |
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a) |
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b) |
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c) |
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d) |
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and 
are in the first quadrant; point '
' is the origin. If the slope of 
is 1, slope of 
is 7 and 
, then the slope of 
is
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