Math, asked by VijayaLaxmiMehra1, 1 year ago

7. Find the value of k if the points A (2,3 ) , B ( 4, k ) and C ( 6,-3 ) are collinear.

Standard:- 10

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Answers

Answered by siddhartharao77
16
Given points are A(2,3), B(4,k) and C(6,-3).

Here we have x1 = 2, x2 = 4, y 1 = 3, y2 = k, x3 = 6, y3 = -3.

Given that the three points are collinear.

= > x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) = 0

= > 2(k + 3) + 4(-3 - 3) + 6(3 - k) = 0

= > 2k + 6 + 4(-6) + 18 - 6k = 0

= > 2k + 6 - 24 + 18 - 6k = 0

= > -4k + 0 = 0

= > -4k = 0

= > k = 0.


Therefore the value of k = 0.



Hope this helps!

siddhartharao77: :-)
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