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  • Locus of the point ‘P’, such that sum of squares of it’s distances from lines <img alt="\mathrm{2 x^2+y^2-3 x y=0}" src="https://entrancecorner.oncodeco

Locus of the point ‘P’, such that sum of squares of it’s distances from lines \mathrm{2 x^2+y^2-3 x y=0}  is 1, is   

 

Option: 1

a straight line passing through origin


Option: 2

an ellipse centered at origin

 


Option: 3

a parabola having vertex at origin


Option: 4

none of these  

 


Answers (1)

best_answer

\mathrm{\text { Considering } P(h, k) \text {, as }\left(\frac{2 h-k}{\sqrt{5}}\right)^2+\left(\frac{h-k}{\sqrt{2}}\right)^2=1}

\mathrm{13 h^2+7 k^2-18 h k-10=0}

\mathrm{\text { Locus is } 13 x^2+7 y^2-18 x y-10=0}

\mathrm{\text { (Here, } \Delta \neq 0, H^2<A B \text { ) }}

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Rakesh

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