Question

Solve it...............

Answer 1

Hey !!


AP/AB = 1/3 => AP / AP + PB = 1/3



=> 3AP = AP + PB => 2AP = PB




=> AP/AB = 1/2




=> AP : PB = 1 : 2.


So, P divides AB in the ratio 1 : 2.


Therefore,

Coordinates of P are : ( 1 × 5 + 2 × 2 / 1 + 2 , 1 × (-8) + 2 × 1 / 1 + 2 ) = ( 9/3 , -6/3) = ( 3 , -2 ).


Since P ( 3 , -2 ) lies on 2X - Y + K = 0 , we have


2 × 3 - (-2) + k = 0




6 + 2 + K = 0


K = -8.

Hence,

The required value of K is. -8.

Answer 2

Answer:

AP/AB = 1/3 => AP / AP + PB = 1/3

=> 3AP = AP + PB => 2AP = PB

=> AP/AB = 1/2

=> AP : PB = 1 : 2.

So, P divides AB in the ratio 1 : 2.

Therefore,

Coordinates of P are : ( 1 × 5 + 2 × 2 / 1 + 2 , 1 × (-8) + 2 × 1 / 1 + 2 ) = ( 9/3 , -6/3) = ( 3 , -2 ).

Since P ( 3 , -2 ) lies on 2X - Y + K = 0 , we have

2 × 3 - (-2) + k = 0

6 + 2 + K = 0

K = -8.

Hence,

The required value of K is. -8

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