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Question

If a ABC has vertices(0,0),(11,60) and (91,0). If the line y=kx cuts the triangle into two triangles of equal area, then kis equal to


A

3051

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B

47

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C

74

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D

3091

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Solution

The correct option is A

3051


Explanation for correct option:

Find the value of k:

Given, ABC has vertices (0,0),(11,60),(91,0)

And line y=kx cuts the triangle into two triangles of equal area.

Median pass through C will bisect the triangle into two equal area triangle.

Mid point of AandB will lie on y=kx.

Mid point 11+912,60+02=(51,30)

Therefore

30=k51k=3051

Hence, the correct option is (A).


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