Point P(x,4) lies on the line segment joining the points A(-5,8) and B(4,-10).find the ratio in which the point in which the point P divides the line segment AB.Also find the value of x.. plssss answerrrr it as fast as u cn..
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Let the point P(x,4) divide the line segment joining the points A(-5,8) and B(4,-10) in the ratio k:1.
So, by applying Section formula,
(4k-5/k+1, -10k+8/k+1) = (x,4)
By comparing the corresponding coordinates,
-10k+8/k+1=4
⇒4k+4=-10k+8
⇒14k=4 ⇒ k=2/7
Also, 4k-5/k+1 = x → (1)
Substituting k=2/7 in Eq. (1),
x=8/7-5/2/7+1 ⇒ x=-3
Hence, the required ratio is 2:7
The value of x is -3.
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