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.
Deepak BoraNewbie
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.
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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)