Question

If the point c(1 2) dives internally the line segment goin ng the points A(2 5) &} (sc in en the sation 3:4 .find the value of x^(2)+y^(2)​

Answer 1

Answer:

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.