Q. 4 C5.0( 3 Votes )

Solve any two sub

Answer :

The figure is as follows:


Given:


A = (5, 4)


B = (-3, -2)


C = (1, -8)


Segment AD is the median


D is the midpoint of BC


By midpoint formula




x = -2 / 2


x = -1




y = -10 / 2


y = -5


D = (-1, -5)


Equation of median AD is given as follows:


y – y1 = m × (x – x1)




m = 9 / 6


6 × (y – 4) = 9 × (x – 5)


6y – 24 = 9x – 45


9x – 6y – 21 = 0


3x – 2y – 7 = 0


Therefore the equation of median AD = 3x – 2y – 7 = 0


Slope of Line AC




m = -12 / -4


m = 3


Since the line BP is parallel to AC.


The slope of line BP is same as that of slope of line AC = 3


Equation of line BP


y – y1 = m × (x – x1)


y + 2 = 3 × (x + 3)


y + 2 = 3x + 9


3x – y + 7 = 0


Therefore the equation of line BP = 3x – y + 7 = 0


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

Solve any five suMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

Solve any two subMaharashtra Board - Geometry Papers

Solve any four suMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers