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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: fast fast(locus)
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sinjan.j (574)

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don't solve the sum for me but give me an idea about how to solve it.....

the sum is like this....

A is the point (-1,0) and B is the point (1,1) . Find a point on the line 4x+5y=4 which is equidistant from A and B......

please help me fast guys....!!!




    
srujana (3008)

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use the distance formula dear

find the locus and solve both the equations (the eq u get and 4x+5y=4 )

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make yourself another.
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sinjan.j (574)

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can we apply mid point formula??




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srujana (3008)

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no..............midpoint is only a special case when the three points lie on the same line(they r collinear)

God has given you one face, and you
make yourself another.
~William Shakespeare

You were born an original. Don't die a copy.
~John Mason
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nano0101 (44)

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A  (-1,0)
B (1,1)
 
Let P(x,y) be a point equidistant form A and B
 
So
PA = PB      =>  PA2 = PB 2
 
Use the distance formula d = sqrt[ (x1 - x2)2 + (y1 - y2)2]
 
Find PA PB equate
we get an equation
 
then do simultaneous equating of the euation we got and 4x+5y=4 .

In the process of learnin..............blunders do happen !!!
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nano0101 (44)

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you get the answer to be (1/4 , 0)

In the process of learnin..............blunders do happen !!!
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sinjan.j (574)

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see the answer given in the book is (-1/4,1)
and that is the answer i am getting

i don't think that u have to do simultaneous equation........

we use distance formula and get an equation..
the concept is that the equation we get is equal to 4x+5y-4=0

so we can find out x and y from it....!

cheers.......!!!!




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venkat_tatolu (192)

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I method:Verify options which satisfy the given line and equidstant
to given points.

II method:Find perpendicular bisector of line segment joining given
points and solve with given equation.

***T.Venkat***
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nano0101 (44)

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ya ya i did some mistake ........

In the process of learnin..............blunders do happen !!!
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