Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

12,761 questions

17,393 answers

1,429 comments

33,429 users

Co-Ordinate Geometry Question. HARD!?

0 votes

The points A (-2, 4), B (6, -2) and C (5, 5) are the vertices of ABC (triangle) and D is the mid-point of AB. (D is not given). A) Find an equation of the line passing through A and B in the form ax+by+c=0, where a,b and c are intergers to be found. B) Show that CD is perpendicular to AB. WITH WORKING!!! I...

asked Apr 8, 2016 in GEOMETRY by anonymous

1 Answer

0 votes

Step 1:

Triangle image has coordinate points image and image.

Consider the coordinate points image.

Formula for image.

Substitute image and image in the slope formula.

image

Triangle image slope of the line joining the point is .

General form of line equation is image.

Substitute image in the general form.

image

The line passing through the is image.

Step 2:

Slope of is .

image is the mid point of .

image

Substitute image and image in the mid point formula.

image

Point image is image.

Find slope of the image.

Substitute image and image in the slope formula.

image

Since line joining the point image is perpendicular to .

Solution :

(a) The line passing through the is image.

(b) image is perpendicular to .

answered Apr 12, 2016 by Anney Mentor

Related questions

asked Nov 1, 2015 in GEOMETRY by anonymous
asked Jun 7, 2014 in GEOMETRY by anonymous
...