Question

If the point C (-1,2) divides the line segment joining the points A(2,5) and B (x,y) in the ratio 3:4 internally. find the value of
${x}^{2} + {y}^{2} \\ \\ \\ \\ bakchodi \: will \: not \: be \: entertainned \: at \: any \: cost$
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Answer 1

Answer:

Answer:The ratio is 3:4

A(2,5) B(x,y) and C divides the line at C(-1,2)

Step-by-step explanation:For X coordinate

-1=3*x+4*2/3+4

-1=3x+8/7

-7-8=3x

-15=3x

X=-5

For y coordinate :

2=3y+4*5/7

14=3y+20

14-20=3y

-6=3y

Y=-6/3

Y=-2

So x= -5 and y= -2

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Answer 2

Answer:

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.