Question

COORDINATE GEOMETRY
CLASS 10
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•Please answer the question in the picture.
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THANKS...​ ​​

Answer 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution :-

Let the line 3x + 4y - 9 = 0 divides the lines segment joining A(1, 3) and B(2, 7) in ratio k : 1 at point P.

Therefore, Coordinates of P = (2k + 1/k + 1, 7k + 3/k + 1)

Since, P lies on the line 3x + 4y - 9 = 0

So, Coordinates of P satisfies 3x + 4y - 9 = 0

⇒ 3(2k + 1/k + 1) + 4(7k + 3/k + 1) - 9 = 0

⇒ 6k + 3 + 28k + 12 - 9k - 9 = 0

⇒ 25k + 6 = 0

⇒ k = - 6/25

Line 3x + 4y - 9 = 0 divides the line segment joining the points A and B in 6 : 25 externally.

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