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Ask community Community Discussion Question: coordinate geometry 6789 plz solve it fast i have test tomorrow
Reply Forum Index -> Analytical Geometry originally posted here on IIT-JEE / AIEEE community   
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sinjan jana (238)

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the straight lines y=m1x + c1
 
y= m2x + c2
 
x=0 intersect in three points P, Q and R.
find the area of the triangle PQR.
 
what is the value of the area, if C1 = C2?????




    
arunesh kumar (506)

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hey, i think there's something wrong in the question coz' according to the data given, all the three lines are concurrent i.e. they'll intersect at the same point, then there is no point of a triangle being formed....(ans. can also be zero)...

plz correct me if i'm wrong...

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bumba (182)

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is the answer 0.5 c^2(m1+m2)/m1.m2(assuming that either m1 or m2 is negative)else if both r positive or both r negative then it is :::0.5c^2(m2 -m1)/m1.m2
provided m1 not equal to m2
please correct me if wrong...

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Ramya Hegde (1005)

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Well, i'm getting slightly different answer, so i'm posting my method, plz do correct me in case i'm wrong.
 
Intersection points would be P(0,c1) , Q(0,c2) R(c2-c1/m1-m2 , m1c2-m2c1/m1-m2)
 
Now, using determinant, i'm getting the area as
 
1/2* [c12 +c22-2c1c2]/m1-m2
=(c1-c2)2/2(m1-m2)
 
Hence, if c1=c2, therefore area=0
 
Plz do tell me if i'm wrong.
 Thank you.

-Ramya
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