Show that the normal line at any point of the circle x2 + y2 = a2 passes through the origin.

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: Suppose you have a circle with center (h, k) and radius r. Write an equation that would allow you to…

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Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Please show how the following Figure can be linearly separated by mapping from the features (X1, X2)…

A: In many machine learning scenarios, data points that are not linearly separable in the original…

Q: Find the locus of the midpoint of the chords of the circle x² + y² = a² which subtend a right angle…

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Q: Find the angle at which the circle  x2+y2 +x+y=0 and x2 +y2 + x-y=0 intersect.

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Q: Prove that the normal point on the circle passes through the center.

A: Consider the equation of the circle, x2+y2=r2 Consider an arbitrary point x1,y1 on the circle.…

Q: A circle has center at the intersection of the two lines, 4x + y = 4 and x - y= 6.  If it passes…

A: two lines are system Ax=b is

Q: ,draw the circle given by the equation (x+4)² + (y –6)² = 16. THIN BLACK 13- 12- 11+ 10 9- 8- -거 6-…

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Q: 8. Is the point (2, –7) on the circle defined by (x + 6) + (y + 1) = 100?

A: Given the equation of a circle, x+62+(y+1)2=100                   ...(1)

Q: which is the center of a circle x2 + y2  = 9?

A: given, Equation of a circle is x2 + y2 =9

Q: A circle has center (2, 4). Prove that if the radius of the circle is less than 5, then the circle…

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Q: B: Determine whi 10. (1, 4)

A: Given equation of the circle is: x-42+y+12=16 We have to find the points contained by the above…

Q: what

A: Please refer to the image below

Q: What are the four main end points to the circle x2+y2-10x+8y+25=0 (show work)

A: Question is solved.

Q: a) when does the line x 2t, y = 3 +4t intersect the curve y = x2

A: Given data:     The given first line is: x=2t. The given second line is: y=3+4t. The equation of the…