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)