In a triangle ABC, AB is parallel to y-axis, BC is parallel to x-axis, centroid is at (2, 1), If median through C is `x-y=1`, then the slope of median through A is
A
2
B
3
C
4
D
5
Text Solution
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The correct Answer is:
C
Let `B(a,b), C(c,b), A (a,d)`. Then D (mid point of BC) is `((a+c)/(2),b)` E (mid point of AB) is `(a,(b+d)/(2))` Given slope of `CE = 1 rArr (b-(b+d)/(2))/(c-a) =1rArr ((b-d))/(c-a) =2` Slope of `AD = (b-d)/((a+c)/(2)-a) =2 ((b-d))/(c-a) =4`
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CENGAGE-COORDINATE SYSTEM-Multiple Correct Answers Type
