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`17(x^(2)+y^(2))+2x-44y=0`Transcript

Time | Transcript |
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00:00 - 00:59 | good morning friends on next question is all circle and we have to find the equation of a circle whose Centre is at the point of intersection of line 2 x minus 3 Y + 4 is equal to zero and 3 X + 4 Y - 5 is equal to zero and these lines are passes through the origin so what we do firstly intersecting Point 2 x minus 3 Y + 4 is equal to zero and 3 X + 4 Y what we have to do firstly 2 x minus 3 Y + 4 is equal to zero year what we do multiplying the given equation by 4 we get |

01:00 - 01:59 | we get it x minus 12 + 16 is equal to zero this will be our first question now x x x + 4 Y - 5 is equal to zero what we do multiplying the fever so what we get 9Apps + 12 Y - 15 is equal to zero and this will be our second equation now what we have to simply to we have to reading it question 1 and 2 so what we get it x minus 12 + 16 + 9 |

02:00 - 02:59 | + 12 - 15 is equal to zero from this what we get we get 17 x is equal to zero x is equal to minus 1 by 17 now we have to put this value in equation number 128 in 2 - 1 by 17 - of 12 + 16 is equal to zero so what we get from this we get the value of Y so what we get the value of Y 12 is equal to 264 by 17 to 22 |

03:00 - 03:59 | by preventing now we have the centre point Tier 1 by the centre is at -11 17 common 22 by 17 now we have to find the radius of the given equation tight radius R is equal to under root of -1 by 17 - 0 + 22 by 17 - 0 whole square from this we get the |

04:00 - 04:59 | value of a square is equal to 484 29 now we know that the equation of circle is x minus 1 whole square + Y - 3 whole square is equal to square from that what we write X + 1 by 17 whole square + Y - 22 Y 17 whole square equal to square which is 85.2 89 from this what we implicate the equation of the circle and the equation of the circle will be 17 X + 1 whole square + 17 Y - 22 whole square is equal to 485 and the required equation of the given circle thank you |

**Standard equation of circle**

**General Equation of Circle When the circle passes through the origin.**

**General Equation of Circle When the circle touch x axis and y axis .**

**General Equation of Circle When the circle touches both the axis.**

**Important points to remember**

**Find the Equation; radius; center of the circle and its x intercept and y intercept ?**

**Theorem:- Prove that the equation `x^2+y^2+2gx+2fy+c=0` always represent a circle whose centre is `(-g;-f)` and radius `sqrt(g^2+f^2-c)`**

**Diameter form of the circle**

**Parametric form of circle**

**Equation of a circle passing through 3 points**