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
Verified by Experts
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`
Equations of Lines Parallel to the X-axis and Y-axis
Let ABC be an isosceles triangle with AB=BC .If base BC is parallel to x-axis and m_(1) and m_(2) are the slopes of medians drawn through the angular points B and C, then
The plane x+y=0 (A) is parallel to y-axis (B) is perpendicular to z-axis (C) passes through y-axis (D) none of these
A=(1,3,-2) is a vertex of triangle ABC whose centroid is G=(-1,4,2) then length of median through A is
If distance of centroid of triangle ABC from vertex A is 6 cm them find the length of median through point, A.
The line x=x_1,y=y_1 is (A) parallel to x-axis (B) parallel to y-axis (C) parallel to z-axis (D) parallel to XOY plane
CENGAGE-COORDINATE SYSTEM-Multiple Correct Answers Type
