Question

Find the ratio in which the line segment joining the points A(3, -3) and B(-2, 7) is divided by
x-aris. Also, find the coordinates of the point of division.​

Answer 1

Step-by-step explanation:

point are (3/2,0) and ratio is (3:7)

Above sheet give the answer

Answer 2

let point P(x,0)

By section formula

x =(mx2 + nx1)/(m1 + n2 ) , y =(my2 + ny1)/(m1 + n2 )

let we take the ratio k : 1

Coordinate of y

y = (my2 + ny1)/(m1+ n2)

0= ( k×7 + 1 × (-3) ) / k+ 1

0 = ( 7k -3 )/ k+1

0= 7k - 3

3 = 7k

3/7 = k

k = 3/7

Hence , the ratio of required point is 3:7

coordinate of x

x = (3) × (-2) + (7)× (3)/ 3+7

= -6 + 21 / 10

= 15 /10 = 3/2

coordinate of y

y =( 3) × (7) +(7) × (-3) / 3+7

= 21 - 21 / 10

= 0/ 10

= 0

Hence , the required coordinates of given point are (3/2 ,0)

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