Question

tangent to the y-axis with center on 3x +2y =6

Answer 1

Answer:

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Step-by-step explanation:

If the line 3x-2y+6=0 meets x-axis and y-axis respectively at A and B, then what is the equation of the circle with radius AB and centre at A?

Line meet x-axis at A.Therefore coordinate of A are (-2,0) Put y=0 in the equation of line.

Put x=0 in the equation of line the coordinate of B are (0,3)

AB (radius of circle)=√(0+2)²+(0–3)²=√13

Equation of circle=(x-a)²+(y-b)²=r²

(a,b)points of centre and ‘r’is radius

Equation of circle=[x-(-2)]²+y²=(√13)²

= (x+2)²+y²=13

=x²+4x+y²−9=0