The equation `lambda^(2)x^(2)+(lambda^(2)-5 lambda+4)xy+(3lambda-2)y^(2)-8x+12y-4=0` will represent a circle, if `lambda=`A. 1B. 4C. 2D. none of these

The equation `lambda^(2)x^(2)+(lambda^(2)-5 lambda+4)xy+(3lambda-2)y^(

1.	The equation `lambda^(2)x^(2)+(lambda^(2)-5 lambda+4)xy+(3lambda-2)y^(2)-8x+12y-4=0` will represent a circle, if `lambda=`A. 1B. 4C. 2D. none of these
Answer» Correct Answer - A The given equation will represent a circle, if Coeff. of `x^(2)=` Coeff of `y^(2)` and Coeff. of xy = 0. `rArr lambda^(2)=3lambda-2` and `lambda^(2)-5lambda+4=0` `rArr lambda^(2)-3 lambda+2=0` and `lambda^(2)-5lambda+4=0` `rArr (lambda-1)(lambda-2)=0` and `(lambda-1)(lambda-4)=0` `rArr lambda=1`

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The equation `lambda^(2)x^(2)+(lambda^(2)-5 lambda+4)xy+(3lambda-2)y^(2)-8x+12y-4=0` will represent a circle, if `lambda=`A. 1B. 4C. 2D. none of these

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