(A) d = √((4-x)²+(6-y)²)
(B). X²+y²-8x-12y-29=0.
(a) What is Distance Between Two Points Formula? Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by
d=√((x2 – x1)² + (y2 – y1)²)
The point for (X1,y1) is (x,y).
And the point for (x2,y2) is (4,6)
d = √((4-x)²+(6-y)²)
(B). It is given that
Distance between above equation is 9 units.
So d=9.
√((4-x²)+(6-y²)) = 9
((4-x)²+(6-y)²) = 81
(16+x²-8x)+(36+y²-12y)=81
Now we have to calculate this equation.
We can write this equation as,
16+36+x²+y²-8x-12y=81
52+x²+y²-8x-12y=81
X²+y²-8x-12y=81-52
X²+y²-8x-12y=29
X²+y²-8x-12y-29=0.
So,this is the equation for distance = 9 units.
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