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Find the Coordinates of Point P Which Divides Line Segment Joining a ( 3, -10) and B (3, 2) in Such a Way that Pb: Ab= 1.5. - Mathematics

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प्रश्न

Find the coordinates of point P which divides line segment joining A ( 3, -10) and B (3, 2) in such a way that PB: AB= 1.5. 

योग

उत्तर

Given: - PB : AB =1 : 5

∴  PB : PA = 1 :  4

Coordinates of Pare 

(x , y) = `((4 xx 3 - 3)/5 , (4 xx 2 - 10)/5) = (9/5 , -2/5)`

P`(9/5 , -2/5)`

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अध्याय 12: Distance and Section Formulae - Exercise 12.2

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 12 Distance and Section Formulae
Exercise 12.2 | Q 5

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Find the area of a rhombus if its vertices are (3, 0), (4, 5), (− 1, 4) and (− 2, −1) taken in order.

[Hint: Area of a rhombus = `1/2` (product of its diagonals)]


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Given a line segment AB joining the points A(−4, 6) and B(8, −3). Find:

  1. the ratio in which AB is divided by the y-axis.
  2. find the coordinates of the point of intersection.
  3. the length of AB.

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Activity:

∴ By section formula,

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