Adv
Deepak Bora
  • 0
Newbie

Find the ratio in which the y-axis divides the line segment joining the points (6, -4) and (-2, -7). Also find the point of intersection.

  • 0

CBSE 10th Class Mathematics
Past year question paper
Year 2020
SET 1, Code Number  – 30/5/1
Question Number –  29 [a]
coordinate, line segment
find the point of intersection.

Share

1 Answer

  1. Given,

    Y axis divides the line segment .
    Any point on y – axis is of the form (0, y) As per the question

    As per section formula,
    𝑃(𝑥, 𝑦) = ( [𝑘𝑥2+𝑥1] / [𝑘+1], [𝑘𝑦2+𝑦1] / [𝑘+1] )
    = ( [−2𝑘 + 6] / [𝑘 + 1], [−7𝑘 − 4] / [𝑘 + 1] )
    [−2𝑘 + 6] / [𝑘 + 1] = 0
    −2𝑘 + 6 = 0
    2𝑘 = 6
    𝑘 = 3
    ∴ 𝑅𝑎𝑡𝑖𝑜3: 1
    𝑦 = [−7𝑘 − 4] / [𝑘 + 1]
    =[−21 − 4] / 4
    =−25 / 4
    ∴ 𝑃𝑜𝑖𝑛𝑡 𝑜𝑓 𝑖𝑛𝑡𝑒𝑟𝑠𝑒𝑐𝑡𝑖𝑜𝑛 (0, −25 / 4)

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions