(D) Given the circle $x^2+y^2=9$ and the line $x+y=3$. To find the equation of the pair of lines joining the origin to the intersection points,we homo

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(D) Given the circle $x^2+y^2=9$ and the line $x+y=3$. To find the equation of the pair of lines joining the origin to the intersection points,we homogenize the equation of the circle using the line equation. Since $x+y=3$,we have $\frac{x+y}{3} = 1$. Substituting this into the circle equation: $x^2+y^2 = 9(1)^2$ $x^2+y^2 = 9\left(\frac{x+y}{3}\right)^2$ $x^2+y^2 = 9\left(\frac{(x+y)^2}{9}\right)$ $x^2+y^2 = (x+y)^2$ $x^2+y^2 = x^2+y^2+2xy$ $2xy = 0$ $xy = 0$

Class 11 Mathematics Pair of straight lines Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines

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The equation of the pair of lines joining the origin to the points of intersection of $x^2+y^2=9$ and $x+y=3$ is:

AP EAMCET 2016 All AP EAMCET

A
$x^2+(3-y)^2=9$
B
$(3+y)^2+y^2=9$
C
$x^2 - y^2 = 9$
D
$xy = 0$

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Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines

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The equation of the pair of lines joining the origin to the points of intersection of $x^2+y^2=9$ and $x+y=3$ is:

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