Consider the two points P1(-1,2) and P2(1, 3) in the xy-plane. Question 14: 1. Find the distance D between P and P,. 2. Find the midpoint M between P and P2. 3. Write an equation of the circle centered at the midpoint M you found in the previous question, and whose radius is so that the points P and P2 are on the circle.

Q: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: nd the equation of the tangent to the circle X^2+Y^2-8X+2Y+7=0 at point (3,2), given that point…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

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Q: Calculate the equation of the circle that passes through the point (0, -3), whose radius is V5 and…

A: we know that equation of circle (x-h)2+(y-k)2=r2  Here radius of circle is 5 ,here circle passing…

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

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Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

Q: The circles defined by the equations (x + 3)2 + (y- 2)2 20 and (x +3)2 + (y - 2)2 = 45 have the same…

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Q: Write the general equation of each of the following circles that satisfies the stated conditions. a.…

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Q: Find the equation of the circle in standard form satisfying the given conditions: C(7,4) externally…

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Q: Question 4 Determine the standard equation of the circle with center at (-5,0) and diameter of 18. A…

A: A circle is a two-dimensional figure. It is represented by the locus of a point whose distance from…

Q: Evaluate S, y2 – x ds for each of the following curves. a) C = c, is the line segment from (-5, -3)…

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Q: Determine the equation of the circle whose center is at (4, 5) and tangent to the circle whose…

A: Given that circle center and also given that a  equation and we find circle equation. Here i…

Q: Suppose that the terminal point determined by t is the point GV 55 on the unit circle. Find the…

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Q: Consider the circle with the equation (x+2)^2+(y−1)^2=25 Its center is (           ,         )  and…

A: GIven equation:- x+22+y-12=25

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 9. With…

A: To find the equation of the circle in general form that satisfies the given condition.With center on…

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

A: If (h,k) = center, r is the radius then the equation of the circle is given by:- (x-h)2+(y-k)2=r2…

Q: 23. In the diagram, O is the centre of the circle. AK is a straight line and TK is tangent. If ZCTK…

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Q: 12. Find the center and radius of the circle given by (x − 3)2 + y2 = 9. Then sketchthe circle.

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Q: d) The circle r2-2x+y² = 3 in R2 traversed in the clockwise direction. e) The line segment in R2…

A: We shall answer one question only as per the company guidelines as each of these have many subparts…

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: N and O are two points in the xy-plane. If their coordinates are N (3, 6) and O(5, 9) which of the…

A: We have to find the equation of the circle. In this problem first we will find the center and then…

Q: The equation of a circle centered at (0, 8) with a radius of is given by which of the following…

A: In general, the equation of circle is x-h2+(y-k)2=r2 Where, (h,k)=center, r=radius.

Q: Which of the following equations describes a circle with radius 10 that passes through the origin…

A: Given : Equations of circle : A) (x - 5)2 + (y + 5)2 = 10 B) (x - 5)2 + (y + 5)2 = 100 C) (x -…

Q: 1. Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3).

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

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Q: Find equation of the circle (in general form) that satisfies the given condition: Equation of the…

A: Circle

Q: Given the following equation of the circle: (x - 1)2 + y = 25 Center: (0, 1) Which of the following…

A: Given equation of circle: (x-1)2 + y2 = 25 To find: To check which option is not true

Q: Find the equation of the circle tangent to the line 3x – 4y + 6 = 0 at (2, 3) and passing through…

A: equation of circle

Q: Write the general equation of each of the following circles that satisfies the stated conditions. a.…

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Q: Let P(0) be the terminal point of 0 on the unit circle. What is its x-coordinate if y = b – 1?

A: P(θ) be the terminal point of θ on the unit circle.

Q: Which of the following is the equation of family of unit circles tangent to x-axis? A (x-r)² +(y-r)²…

A: We have to find the equation of family of unit circles tangent to x-axis.

Q: B. Find the equation of a circle (in general form) defined by the following. 6. center at (0,0);…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: For the circle x2 + y? = 2, which of the following is the equation of the tangent line at the point…

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Q: The standard equation of the circle with center (-1,-4) :and tangent to x-axis is اخترأحد الخیارات…

A: Stranded equations of the circle passing through center (h,k).

Q: The equation of a circle centered at (0, 8) with a radius of 30 is given by which of the following…

A: Given that, center of circle is (0, 8) and radius, r = √(30) To find the equation of circle

Q: 29.Consider the circle (x + 1)² + (y – 3)² = 116. Find an equation for the tangent line drawn to the…

A: Since you have asked multiple unrelated questions in a single request we would be answering only the…

Q: For the circle x² + y? = 2, which of the following is the equation of the tangent line at the point…

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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: Find the equation of the circle tangent to the line 3x- 4y+ 6 = 0 at (2,3) and passing through (-1,…

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Q: B. Find the equation of the circle (in standard form) defined by the fol 6. endpoints of the…

A: As per our guidelines we are supposed to answer only 3 sub-part of the question

Q: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

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Q: 11. If the equation of the circle is x +y -6x+2y-6=0, find the center and the radius. А. (3,-1),r…

A: Givenx2+y2-6x+2y-6=0To find Center and radius of above equation.

Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: The equation of a circle centered at (0, 8) with a radius of is given by which of the following…

A: Given: Center (0,8) and radius =√30

Q: 10. Find the equation of the circle that has a center at (3, 3) and is tangent to the y- axis? a.…

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Q: 2. Find the equation (in general form) of the tangent lines to the circle x² + y² - 8x + 10y = 128…

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