Math, asked by belavimal, 5 months ago

(27; If the pointC (-1,2) divides internally the line segement joining A(2,5) and B(x, y) in the ratio 34,
Find the coordinates of B

Answers

Answered by harshavardhan3901086
0

Answer:=29.

Step-by-step explanation:

We know that by section formula, the co-ordinates of the points which divide internally the line segment joining the points (x  

1

​  

,y  

1

​  

) and (x  

2

​  

,y  

2

​  

) in the ratio m:n is

(x,y)=(  

m+n

mx  

2

​  

+nx  

1

​  

 

​  

,  

m+n

my  

2

​  

+ny  

1

​  

 

​  

)

Since, C divides A & B in the ratio 3:4 internally

By section formula

3+4

3x+4(2)

​  

=−1,  

3+4

3y+4(5)

​  

=2

⇒3x+8=−7, 3y+20=14

x=  

3

−15

​  

, 3y=−6

⇒x=−5, y=−2

x  

2

+y  

2

=(−5)  

2

+(−2)  

2

 

=25+4

∴x  

2

+y  

2

=29

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