Question

If the point C (-1, 2) divides internally the line segment joining the points A (2, 5) and B (x, y) in the ratio 3 : 4, find the value of x^2+ y^2.

Answer 1

Answer:

29

Step-by-step explanation:

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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