Maths / Coordinate Geometry / Area of Triangle Using Coordinate

QUESTION
 

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

EXPLANATION
Explain TypeExplanation Content
Text

Since the given points are collinear, the area of the triangle formed by them must be 0,i.e.,

                                              frac {1}{2}left [ 2(k+3)+4(-3-3)+6(3-k) right ]=0

i.e.,                                          frac {1}{2}(-4k)=0

Therefore,                              k=0

Let us verify our answer.

                        area of  Delta ABC=frac {1}{2}left [ 2(0+3)+4(-3-3)+6(3-0) right ]=0

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