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If the point (2,3) ,(4,4)and (6,_3) …

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If the point (2,3) ,(4,4)and (6,_3) are co- linear then find the value of k

Posted by Sumit Das 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Ram Kushwah 6 years, 11 months ago

This question is Example 14 from chapter 7 page 169

Example 14 : Find the value of k if the points A(2, 3), B(4, k) and C(6, –3) are
collinear.
Solution : Since the given points are collinear, the area of the triangle formed by them
must be 0.

So {tex}\begin{array}{l}\frac12\lbrack2(k+3)+4(-3-3)+6(3-k)\rbrack=0\\\frac12(2k+6-24+18-6k)=0\\\frac12\times-4k=0\\or\;k=0\end{array}{/tex}

0Thank You

Gaurav Seth 6 years, 11 months ago

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

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Solution:

Given that A, B and C are collinear. Hence ar(DABC) = 0

1Thank You

Nikita Sharma 6 years, 11 months ago

Where is k

0Thank You

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