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If 2x^2+lambdax y^+2y^2+(lambda-4)x+6y-5...

If `2x^2+lambdax y^+2y^2+(lambda-4)x+6y-5=0,` is the equation of a circle, then its radius is :

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To find the radius of the circle given by the equation \[ 2x^2 + \lambda xy + 2y^2 + (\lambda - 4)x + 6y - 5 = 0, \] we need to ensure that the equation satisfies the standard form of a circle. The steps to solve this are as follows: ### Step 1: Rewrite the equation We start with the given equation: ...
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RD SHARMA-THE CIRCLE-Solved Examples And Exercises
  1. If the abscissae and the ordinates of two point Aa n dB be the roots o...

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  2. Find the equation of the circle which passes through the points (2,"""...

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  3. If 2x^2+lambdax y^+2y^2+(lambda-4)x+6y-5=0, is the equation of a circ...

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  4. If the equation of a circle is lambdax^2+(2lambda-3)y^2-4x+6y-1=0, th...

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  5. If the line l x+m y+n=0 touches the circle x^2+y^2=a^2 , then prove th...

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  6. Find the equation of the circle which passes through the origin and...

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  7. Prove that the locus of a point which moves such that the sum of th...

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  8. Find the equation of the circle on the straight line joining the poi...

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  9. If a circle of constant radius 3c passes through the origin and meets ...

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  10. Find the equation to the circle which passes through the points (1,...

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  11. Find the equation of the circle, the coordinates of the end points ...

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  12. If the circles x^2+y^2+2a x+c=0a n dx^2+y^2+2b y+c=0 touch each other,...

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  13. Find the equation of the circle which passes through the points (1,-2)...

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  14. The equation of the circle which touches the axes of coordinates an...

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  15. Find the equation of the circle which passes through the points (2,...

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  16. The number of integral values of lambda for which the equation x^2+y^2...

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  17. Find the equation of the circle which touches the lines 4x-3y+10=0a...

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  18. If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find t...

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  19. Find the equation of the circle having (1,-2) as its centre and passi...

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  20. Find the locus of the centre of the circle touching the line x+2y=0 ...

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