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A triangle ABC with vertices A(-1,0) B(-2, 3/4) C(-3, -7/6) has its orthocentre at H. Then the orthocentre of triangle BCH will be

A) (-3,-2)
B) (1,3)
C) (-1,2)
D) None of these

10 Answers

1
" ____________ ·

NONE OF THESE option d

1
" ____________ ·

ans is ( -1 , 0 )

1
xYz ·

yes it is point A itself

1
Unicorn--- Extinct!! ·

Yes, thats what the answer is. I am missing some concept here. Please tell me.

1
" ____________ ·

first find orthocentre H it comes out to be as

H ( - 463256 , 2764 )

NOW FIND THE ORTHOCENTRE OF BCH

IT IS intersection of these lines

7x - 12 y + 7 = 0 ----1

and

3x + 4y + 3 = 0 ----2

solve these u get ( -1 , 0 )

1
" ____________ ·

1
" ____________ ·

FIRST FIND EQUATION OF ALTITUDES

U GET EQNS AS

48 x + 28 y + 75 = 0 ---1

8x - 6y + 17 = 0 ---2

solve these and find H

1
Unicorn--- Extinct!! ·

Yes...got it. Thanx a lot!
I was under the impression that this was to be done with some other concept

1
xYz ·

@D'artgnan
just see the figure , no need of equations
let H be orthocentre
BA is perpendicular to CH
and
CA is perpendicular to BH
hence orthocentre is A

1
" ____________ ·

XYZ ur method is a pure geometry

mine is analytical geometry( hence equations)

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