The order of the differential equation whose solution is `x^ (2)y^ (2)2gx2fyc=0` is Sarthaks eConnect Largest Online Education CommunityThe equation x2 y2 2gx 2fy c = 0 always represents a circle whose centre is (g, f), that is ( 1 2 coefficient of x, 1 2 coefficient of y) and radius is g 2 f 2 − c If g2 f2 c = 0 then theLet C_1x^2y^22gx2fyc=0 and C_2=x^2y^22gx2fyc_1=0 Now note that C_1=(xg)^2(yf)^2=f^2g^2c and C_2=(xg)^2(yf)^2=f^2g^2c_1 Now assuming that
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X^2+y^2+2gx+2fy+c=0 differential equation
X^2+y^2+2gx+2fy+c=0 differential equation-Obtain the differential equation of the family of circles x^2 y^2 2gx 2fy c = 0 ;2gx2fyc=0\sin(\frac{\mathrm{d}}{\mathrm{d}x}(y))\cos(\pi x)x^{2}y^{2} Subtract y^{2} from both sides 2fyc=0\sin(\frac{\mathrm{d}}{\mathrm{d}x}(y))\cos(\pi x)x^{2}y^{2}2gx
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Obtain he differential equation of the family of circles x^2y^22gx2fyc=0; To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW Theorem Prove that the equation `x^2y^22gx2fyc=0` always represent a circle whose x 2 y 2 2gx 2fy c = 0 (1) This equation may be written Hence (1) represents a circle whose centre is the point ( g, f), and whose radius is If g 2 f 2 > c, the
Where g , f and c are arbitrary constantsN/AThe equation x^(2) y^(2) 2gx 2fy c = 0 represents a circle of nonzero radius , if The equation x^(2) y^(2) 2gx 2fy c = 0 represents a circle of nonzero radius , if BooksClick here👆to get an answer to your question ️ Obtain the differential equation of the family of circles x^2 y^2 2gx 2fy c = 0 ;
The equation mathx^2y^22gx2fyc=0 /math comes from the definition of the circle itself The definition of circle is "All the points that are equidistant from a single point" & tge distanceIf `g^(2)f^(2)=c`, then the equation `x^(2)y^(2)2gx2fyc=0` will represent Books Physics NCERT DC Pandey Sunil Batra HC Verma Pradeep Errorless Chemistry NCERT P Bahadur IITWhere g,f and c are arbitary constants
Where g , f & c are arbitary constants The correct option is C 3 Explanation for the correct option Given equation is x 2 y 2 2 g x 2 f y c = 0 There are 3 arbitrary constants g, f and c Therefore the order of the differential equation is 3 Hence, the correct option is CEquation of circle, x^2 y^2 2gx2fyc=0 You can clearly see the graph of a circle with the equation x^2 y^2 2gx2fyc=0 in red color If we change the values of f, g and c using their
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