Question

Find the ratio in which point P whose ordinate is -3 divides the join of A(-2,3) and B(5,-15/2).
Also find the coordinates of P
​

Answer 1

Answer:

ratio= 4:3 , P : ( 2, -3)

Step-by-step explanation:

given ordinate ( y- coordinate) of P = -3

let ratio be 1 : k

=> -3 = [1×(-15/2)+k×3] / (1+k)

=> -3 = (-15/2 + 3k)/ 1+k

=> -3-3k = -15/2+3k

=> 6k= (15/2) -3= 9/2

=> k = 9/12= 3/4

=> ratio= 1:3/4= 4:3

Therefore ratio= 4 : 3

coordinate of P =>x = [4×5+3×(-2)] / (4+3)

14/7= 2

P : (2,-3)

Answer 2

Answer:

ratio= 4:3 , P : ( 2, -3)

Step-by-step explanation:

given ordinate ( y- coordinate) of P = -3

let ratio be 1 : k

=> -3 = [1×(-15/2)+k×3] / (1+k)

=> -3 = (-15/2 + 3k)/ 1+k  

=> -3-3k = -15/2+3k  

=> 6k= (15/2) -3= 9/2  

=> k = 9/12= 3/4

=> ratio= 1:3/4= 4:3  

Therefore ratio= 4 : 3  

coordinate of P =>x = [4×5+3×(-2)] / (4+3)

14/7= 2

P : (2,-3)

thanks..