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Satya jeet Padhy Grade: Upto college level
        

if a vortex of a triangle E(1,1) & the middle point of the sides through it (-2,3)&(5,2) find the other vorties

6 years ago

Answers : (2)

Rathod Shankar AskiitiansExpert-IITB
69 Points
										

Dear Satya Padhy,


 


the ratio middle points divides two vertex is 1:1


 


using formula      (x1*1 +x2*1)/(1+1) = -2       here   E(1,1)=(x1,y1)  and say A(x2,y2) B(x3,y3)


 


substitute x1 here   we get   x2=-4-x1 = -4-1 =-5


 


y2= 3-y1 = 3-1 =2


 


(x2,y2)=(-5,2)


 


x3= 5-x1= 5-1 =4


y3=2-1= 1


 


(x3,y3)=(4,1)


 


 




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Askiitians Expert


Rathod Shankar Singh


IIT Bombay


 

6 years ago
Anil Pannikar AskiitiansExpert-IITB
85 Points
										

Dear Satya,


 


 given middle point so it divides the line into 1:1


so,  -2 = (1 + x1)/2 or x1 = -5


and,  3 = (1 + y1)/2  or y1 = 5


so one of the vertex is (-5,5)


similarly find the other one.


 


Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.


All the best.


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Anil Pannikar


IIT Bombay


 


























 

6 years ago
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