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find the ratio in which the y axis divides the line segment joining the points (5,-6)and (-1,-4).Also find the point of intersection

Posted by Parth Yadav 4 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 4 years, 8 months ago

Let the point be A(5,−6), B(−1,−4) and P(0,y)

Point P is on y−axis,hence its x co-ordinate is 0.So, it is of the form P(0,y)

Now, we have to find ratio.

Let the ratio be k:1

Hence m₁=k,m₂=1,x₁=5,y₁=−6,x₂=−1,y₂=−4,x=0,y=0

Using sections formula x= (m₁x₂+m₂x₁)/m₁+m₂

⇒0=−k+5/k+1

∴k=5

Again y=(m₁y₂+m₂y₁)/m₁+m₂

=−4k−6/ k+1 = (−20−6)/ 6 for k=5

=−13/3

Hence the coordiantes of point is P(0,−13/3)

0Thank You

ANSWER

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