Question

The harmonic conjugate of (-8,- 14) with respect to the line segment joining A(2, 4) B(7,1) is​

Answer 1

Answer:

Correct option is

D

(

3

7

,

3

8

)

Let (4,1) divide (3,2) and (−1,6) in k:1

⇒ 4=

k+1

−k+3

⇒4k+4=−k+3⇒5k=−1⇒k=

5

−1

⇒ it divide them in 1:5 externally

its harmonic conjugate (P) would divide them in 1:5 internally

⇒P

x

=

6

−1+15

=

6

14

=

3

7

,

P

y

=

6

6+10

=

6

16

=

3

8

⇒(D)

Step-by-step explanation:

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