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if (-2,1) and (3,2) are the vertices of a parallelogram , the equation of diagonal is x+y+1=0 and the length of a side is 6 units . Find the other two vertices of the parallelogram .


if (-2,1) and (3,2) are the vertices of a parallelogram , the equation of diagonal is x+y+1=0 and the length of a side is 6 units . Find the other two vertices of the parallelogram .


Grade:12

1 Answers

Sukhendra Reddy Rompally B.Tech Mining Machinery Engg, ISM Dhanbad
93 Points
13 years ago

Hi HSN KMR!!!!

        IF you observe,(-2,1) is one point on the diagonal,but (3,2) isnt.

Now,try to find the point on the diagonal which is at a distance 6 from the point (3,2)

so,consider the poinr ro be (x,-(1+x)) and its dist from (3,2) is 6

so,use distance formula and u will get the third point and thus the slope of a side,using this find the eqn of the side which has points (2,1) and the unknown vertex

now,u can easily find the vertex as u hav the eqn on which it lies,and also its distance from a point

HOPE U R CLEAR  WITH THE SOLUTION

IF NOT,FEEL FREE RO CALL ME 07209736303

ALL THE BEST

PLZZZ APPROVE MY ANSWER IF U LIKE IT

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