Which of the following is the equation of family of unit circles tangent to x-axis? A (x-r)² +(y-r)² = 1 B (x - h)2 + (y – k)² = 1 (x - h)2 + (y – 1)² = 1 (x – 1)? + (y – k)² = 1

Q: 20. The tangent of the acute angle between the y= 4x-3 and y=x-5 is 2 (A) 5 [B) [C) 3 (DJ The radius…

A: tan(θ)=m1-m2/1+m1m2

Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

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: 9. Find the angles at which the curve y =x - x intersects the x-axis.

A: Given: The curve y=x3-x intersects the x-axis

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: 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: A circle is specified by the Cartesian equation: (x – 2)² + (y – 6)² = 16. - %3D Find the equation…

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Q: The center of a circle lies on the line y =6x + 2 and is tangent to the x-axis at (-2,0). What is…

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Q: What is the equation of a circle that passes through the vertex and the points of latus rectum of…

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Q: 6. Determine the equation of the circle whose center is at (4, 5) and tangent to the circle whose…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Which is the equation of a circle with a center of (4, 5) and is tangent to the x-axis? 1. (x +…

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Q: . If a point P is moving such that the lengths of tangents drawn from P to the circles x² + y² +8x…

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Q: 1) The maximum distance from the origin of the xy plane to the circle described by (x – 12)? + (y –…

A: given equation of circlex-122+y-62=16 As per our guideline we supposed to answer only first question…

Q: 35. In the xy-plane, the circles with equations (x-3)² +y² = 11. and (x+2)² + y² = r² |3D %3D 2re…

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Q: Find the center of the circle tangent to x^2 + y^2 + 2x - 6y + 5 = 0 at (1,2) passing through point…

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Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y + 3)2 = 50 at the point P…

A: We Know that A tangent to a circle at point P with coordinates is a straight line that touches the…

Q: C. Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

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Q: z dz 2z ² +(1+i )z -i C is the circle |=|=2

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Q: Find an equation of the line which is tangent to the circle z + y - 4x + 6y – 12 = 0 at the point…

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Q: 6. Evaluate [(x + y²)dx – xdy where C is the circle "x²+y² : = 1" with a counter- clockwise…

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Q: Use Green's Theorem to find (8y + x) dx + (y + 2x) dy, where C: The circle (x - 4)2 + (y-3)2 9 541…

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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: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

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: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

A:

Q: Find the DE of a family of circles with center at (1,-2). Hint: Equation of circle with center (h,…

A: We know that equation of circle with center h, k and radius r is given by, x-h2 + y-k2 = r2 We have…

Q: Demonstrate that the circles (x – 2)? + y² = 2 and x? + (y – 2)2 = 2 share tangent at point (1, 1),…

A: Here we will apply the concept of finding the equation of tangent to the two circles at point (1,1).

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y - 10 = 0.…

A: Circle equation

Q: 4 Find a. the equations of the tangents to the circle x + y? +4x-2y-24 = 0 at the points where the…

A: 4(a). The given equation of circle is: x2+y2+4x-2y-24=0

Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

A:

Q: Find equation of the circle (in general form) that satisifes the given condition: With center on…

A: find the equation of circle using given information.

Q: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

Q: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

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Q: Evaluate f. y3 dx - x3 dy where c is the circle x2 + y2 = 4

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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: The coordinates of the points A and B are (-2, 3) and (4,1), respectively. An equation of the circle…

A: Please consider the handwritten solution.

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: The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

A: Consider the equation of circle in xy-plane given by x2+4x+y2-10y=20 If the line x=k intersect the…

Q: ind the equation of a line tangent to the circle x2 + y2 - 8x -14y + 52 = 0 at point (7,5) a.…

A: we have the equation of circle is  x2+y2-8x-14y+52=0  .........(1) differentiate with respect to x

Q: Let G₁ be z = 6-√√36 - x² - y² and G2 be the upper nape of x² + y² - 3z² = 0. If S is the circle…

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Q: Find the points (x, y) in the unit circle satisfying the given condition 2 b. y = - =-²/ C. x = 4y 3…

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Q: 3. Find an equation of the circle with center at (5, –6) that is tangent to the y – axis in the form…

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Q: The family of circles with center on the line y = 3. A B C D 1+ (y − 3) y ''+ (y') ²=0 1+ (y - 3)…

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Q: 27. The equation of the common tangent to the circles x+ y - 12x- 2y-123D0 and x*+y - 4x + 4y + 4 0…

A: Note: "Since you have asked multiple questions, we will solve the first question asked by you. If…

Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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Q: 8. centered at Which of the following equations represents the circle with radius F 16x2 + 16y2- 16x…

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Q: Which graph is the one described by the set of parametric equa Sz = t ly = t³ %3D for -0<t < o∞ ?…

A: Given:  x = t , y = t3

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

A: