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Find the value of a if 2x^(2)+ay^(2)-2x+2y-1=0 represents a circle and also find its radius. (ii) Find the values of a,b if ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle. Also find the radius and centre of the circle. (iii) If x^(2)+y^(2)+2gx+2fy=0 represents a circle with centre (-4,-3) then find g,f and the radius of the circle. (iv)If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a ,b and the raidus of the circle. (v) If the circle x^(2)+y^(2)-5x+6y-a=0 has radius 4 , find a

Answer»


Answer :(i) `a=2` RADIUS `=(SQRT(21))/4`
(ii) a=3, b=0 radius `=(sqrt(65))/6`, CENTRE `=(5/6,(-1)/3)`
(iii) g=4,f=3 , radius =5
(iv) `a=-4, b=-6, 4=6` (v) a=-3


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