Question

Please solve these 2 eq.

Answer 1

@satellite73 please help me sir

Answer 2

@UnkleRhaukus @Calcmathlete @satellite73 @eliassaab may help u

Answer 3

@waterineyes

Answer 4

Where you found these two equations??

Answer 5

Is it in coordinate geometry?

Answer 6

I actually had to find the general formula of the orthocentre of a triangle

So i calculated the slope of any two perpendiculars and got these to eq.

Answer 7

Yes

Answer 8

I even have 2 other eq. (like substitute for these) but those are purely horrible

@waterineyes

Answer 9

Further you want to do what I am not getting..
Satellite and Lagba can help you more on this..

May be you have to multiply the equations and solve..

Answer 10

I tried that too

but that makes them quadratic with a horrible eq.

Answer 11

Firstly can you tell me the formula for Slope?

Answer 12

Yes

for line joining two points say (x1, y1) , (x2,y2) the slope of the line is

\[\frac{y2-y1}{x2-x1}\]

Answer 13

Yes this is right...
I was just thinking that you have done wrong..

But no you would have done right...

Call satellite he will surely help you in this..

Answer 14

@eliassaab

should i post the original question

??

Answer 15

If you can post then we can see where you have started from..

Answer 16

Prove that the orthocentre of a triangle with vertices

A
\[x_1,y_1\]
B
\[x_2,y_2\]
C
\[x_3,y_3\]

is given by

\[\frac{x_1 tan A + x_2 tan B + x_3 tan C}{tan A + tan B + tan C}, \frac{y_1 tan A + y_2 tan B + y_3 tan C}{tan A + tan B + tan C}\]

Answer 17

@satellite73