Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does t line with equation y = 1.5x + 2 intersect the circle with radius 3 and center (0, 2)?

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y2 -8x-6y +9…

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Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: write the equation of the circle that satisfies the given conditions. Express your answers in the…

A: Consider the provided information, Given that the center at -4,0 and the radius is r=35. The…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

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Q: Recall the equation for a circle with center (h,k) & radius r. At what point in the first quadrant…

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Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: To find the point of intersection of the line and circle

Q: 2+y 4x + 2y +1 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We use completing square method to convert it into standard equation of circle  Standard equation of…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given data:     The given equation of the line is: y=1.5x+4. The radius of the circle is: r=5. The…

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: The general equation for a circle is ( x - h )2 + ( y - k )2 = r2. substitute h=0, k=1 and r=3 into…

Q: Find the equation of the circle if the circle is tangent to the line x + y = 1 at the point (0,1)…

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Q: Recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant…

A: Given,           Center of the circle (0,5) and radius = 5.           Equation of the line is y =…

Q: Recall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

A:

Q: Find the equation of the circle with center at (4, -1) and passing through the point (-2, 2). * 4…

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Q: What is the equation of the circle whose center is at (0,0) and which passes through the point…

A: Let A(x1,y1) and B(x2,y2) be the coordinates of eand points of line segment AB.Then, Length of AB =…

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: Recall: Equation of circle:  x-h2+y-k2 =r2 ; where (h,k) is the center and 'r' is the radius of the…

Q: State the centre and radius of the circle with equation and hence sketch the curve x – 4x + y? + 6y…

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Q: Find the standard form for the equation of a circle (x−h)^2+(y−k)^2=r^2 with a diameter that has…

A: *Standard form of circle. (x-h)2+y-k2=r2 here (h, k) is a diameter and r is the radius. Given:…

Q: Write the standard form of the equation of the circle with radius r and center (h,k).…

A: Given that center=(h,k)=(0,8)Radius=r=5The standard form of circle is: (x-h)2+(y-k)2=r2

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

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Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given : Equation : y = x+1  radius = 4 Center (0,1)  Now we find the point

Q: A7: What is the equation of the circle with center (3, –1) and radius 5?

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Q: Recall the equation for a circle with center (h,k)(h,k)and radius rr. At what point in the first…

A: Given, Equation  y=2.5x+2            ....(1) Circle with radius 5 and center (0, 2).

Q: write the equation of the circle satisfying the given conditions. Express your answers in the form…

A:

Q: Find the standard form for the equation of a circle (2 – h)' + (y – k) = r² with a diameter that has…

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: Which of the following correctly gives the center and radius of the circle defined by the equation…

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Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Recall the equation for a circle with center (h,k)and radius r. At what point in the first quadrant…

A: Recalling the equation of circle with centre (h,k) and radius 'r' is  (x-h)2 + (y-k)2 = r2 Given…

Q: Find the equation of a circle with a center at (3,-1) and radius 5 units. O (x- 32 + (y - 12 - 25 O…

A: Solution is given as below:

Q: 2² + y? 14x + 10y + 10 = 0 is the equation of a circle with center (h, k) and radius r for:

A: Given : x2+y2-14x+10y+10 = 0

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given , Equation of the line   Center of the circle  and radius

Q: Find the equation of a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: find the standard form of the equation of the circle with the center (-1,5) and tangernt to the line…

A:

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y? – 8x - 6y…

A: standard equation of circle (X-h)2 +(Y-k)2 = r2 center (h,k) , radius = r    Here circles touches…

Q: The equation of circle is (x+2) +(y-1)=4. Evaluate at point de (3,-1). 5 5

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Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: The equation of line y=0.5x+4the circle with radius 6 and center (0,4)

Q: write the equation of the circle that satisfies the given conditions. Express your answers in the…

A: Consider the equation of a circle with center at 2,8 and radius r=3. The standard form of the…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given:

Q: Recall the equation for a circle with center (h,k)(h,k) and radius rr. At what point in the first…

A: Topic - intersection of line and circle

Q: 2. Find the center and radius of the circle whose equation is (z – 10)² + (y – 12)² = 49 C(x, y) = (…

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Q: At what point in the first quadrant does the line with equation y=2.5x+4 intersect the circle with…

A: We will solve graphically as nothing is specified. We have that the radius of the circle is 5 and…

Q: Give the equation of the circle that is tangent to the y-axis and center is (-3, 4 .

A: Given that center of the circle (-3,2), it is given that y-axis is the tangent to the circle means…

Q: Show that the equation represents a circle and find the center and radius x2+y2-4x+10y+13=0

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Q: Give the equation of the circle centered at the origin and passing through the point (-8, 0). O=0

A: A circle is the locus of points in two-dimensional space equidistant from a fixed point. The…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A:

Q: Given the circle x^2 +y^2=25 and point P(x1,y1)on the circle, find the equation of the line in…

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Q: Recall the equation for a circle with center (h, k) and radius ·. At what point in the first…

A:

Q: Find the standard form for the equation of a circle (x - h) + (y – k) = r2 with a diameter that has…

A: Here we use distance formula and point formula Let us consider two points A (x1,y1) and B(x2,y2)…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: Given that the equation of line, y=0.5x+1…

Q: What is an equation of the circle with center (3, 0) and radius 8? a. x + y* c. (x + 3) + y = 8 b.…

A: Given- A circle with center 3,0and radius is 8 unit. To find- The equation of the circle. Identity…