Triangle is formed by the lines x-y-0- x-y-0 and l x-m y-1- If l and m vary subject to the condition 12-m2-1- then the locus of its circumcentre is

The correct option is A Circumcentre of the triangle formed by the given lines is given by ( l/l^2 m^2, m/l^2 m^2 ) Hence the locus of this point is ...

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Standard X

Mathematics

Distance Formula

Triangle is f...

Question

Triangle is formed by the lines x + y = 0, x – y = 0 and lx + my = 1. If l and m vary subject to the condition $l^{2} + m^{2} = 1,$ then the locus of its circumcentre is

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Solution

The correct option is A
Circumcentre of the triangle formed by the given lines is given by
$(\frac{l}{l^{2} - m^{2}}, \frac{m}{l^{2} - m^{2}})$
Hence the locus of this point is
$(x^{2} - y^{2})^{2}$ $= x^{2} + y^{2}$

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Triangle is formed by the lines x + y = 0, x – y = 0 and lx + my = 1. If l and m vary subject to the condition l2+m2=1, then the locus of its circumcentre is

The correct option is A Circumcentre of the triangle formed by the given lines is given by (ll2−m2,ml2−m2) Hence the locus of this point is (x2−y2)2 =x2+y2

Triangle is formed by the lines x + y = 0, x – y = 0 and lx + my = 1. If l and m vary subject to the condition $l^{2} + m^{2} = 1,$ then the locus of its circumcentre is

The correct option is A
Circumcentre of the triangle formed by the given lines is given by
$(\frac{l}{l^{2} - m^{2}}, \frac{m}{l^{2} - m^{2}})$
Hence the locus of this point is
$(x^{2} - y^{2})^{2}$ $= x^{2} + y^{2}$