Let the line segment A(2, -3) and B(5, 6) is divided at point P(x,0) by x-axis in ratio m:nHere, (x, y) = (x, 0); (x1, y1) = (2, -3) and (x2, y2) = (5, 6)So, ⇒ 0 = 6m – 3n⇒ -6m = -3nHence, the ratio is 1:2 and the division is internal.

Q. 16 A4.1( 12 Votes )

In what ratio doe

Class 10th KC Sinha - Mathematics 10. Coordinates Geometry

Answer :

Let the line segment A(2, -3) and B(5, 6) is divided at point P(x,0) by x-axis in ratio m:n

Here, (x, y) = (x, 0); (x₁, y₁) = (2, -3) and (x₂, y₂) = (5, 6)

So,

⇒ 0 = 6m – 3n

⇒ -6m = -3n

Hence, the ratio is 1:2 and the division is internal.

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