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The base of the triangle lies along the line x=a and is of length a. The area of the triangle is a2. The locus of the third vertex is

The base of the triangle lies along the line x=a and is of length a. The area of the triangle is a2. The locus of the third vertex is

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
Let the third vertex of a triangle be C (h,k).
Other two vertices are A and B.
that is let, (a,b1) and (a, b1+a) respectively.
Area is given therfore,
a^2 = det( | a   b1  1|
                |a b1+a 1|
               |h    k   1| )................(1)
Then apply the distance formulae using coordinates of  the triangle ABC with a as a constant distance b/w them. From there U would get again some other eqns.

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