wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A(-1, 8), B(4, -2) and C(-5, -3) are the vertices of a triangle, find the equation of the median through (-1, 8).


A

21x + y + 13 = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

2x + y - 6 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

11x - 4y + 43 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

x - 9y - 22 = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

21x + y + 13 = 0


Let's assume median which passes through A cuts the line BC at D.

Co-ordinates of D

D is the midpoint of line BC

D(x,y) = (452,232)=(12,52)

Equation of the line passing through (-1,8) and (12,52)

yy1=y2y1x2x1(xx1)

y8=52812+1(x+1)

y8=51621+22(x+1)

y8=211(x+1)

y8=21x21

21x+y+13=0

Equation of the line (median) that passes through (-1,8) is

21x+y+13=0


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Straight Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon