Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5). Draw the line and the circle.

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: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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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: Find an equation of the circle whose diameter has endpoints (-6, -1) and (2, -3). 0 = X S ?

A: We have to find the equation of circle.

Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

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Q: Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

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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: Draw a circle with an equation of x2+y2+4y=5

A: First we add 4 to both sides and complete the square of y term.

Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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

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Q: find the standard form of the equation of each circle. Center (4, - 2) and tangent to the line x = 1

A: To find the standard form of the equation of each circle. Given that, Center (4, - 2) and tangent to…

Q: Write an equation of the line tangent to the given circle at the given point. (x + 7)2 + (y – 9)2 =…

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Q: Determine whether the point (1, -2) lie inside, out side, or on the circle x* +y -8x – 4y= 5.

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Q: The equation with the circle for 1-3 is: (x-2)^2 + (y+3)^2 =9

A: The equation of circle x-22+y+32=9

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

A: Note that, the equation of the circle centered at the origin is x2+y2=r2. Consider the given points…

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

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Q: Find the length of the curve Y 12x', 1<X< 2

A: Given curve is: Y=X55+112X3, 1≤X≤2 To find the length of the curve.

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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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: Find an equation of the line containing the centers of the two circles               x2 + y2 - 4x +…

A: The given equations are x2+y2-4x+6y+4=0    and   x2+y2+6x+4y+9=0. Rewrite the above equations in…

Q: What is the equation of the circle passing through the points A(-1,3) and B(3,-3) and whose center…

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Q: What is the equation for the circle with the center point M (-2,3) and tangent to the line…

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Q: Find an equation of the line containing the centers of the two circles x2 + y2 + 2x + 2y + 1 = 0 and…

A: Given,

Q: Find the reflection of the straight Line X+3y =1 With a circle x+y"-2X-49+1 \

A: The standard form of a circle is defined as follows: x2+y2+2gx+2fy+c=0 The center is given as -g,-f…

Q: 1. Determine the equation of the circle which is tangent to the line 21y = 20x - 42. The center of…

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Q: x²+y°+6y-7=0

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Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

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Q: Q2. What is the equation of the circle whose center is (3,4) and tangent with (x-axis)

A: 2. Equation of circle with center at (a, b) and radius r is as follows. (x-a)2+(y-b)2=r2. Center of…

Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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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 the…

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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: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

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

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

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Q: Which point is on the circle with equation (x-4)^2 + (y+3)^2 = 9 ?

A: The equation of circle is given as (x-4)2 + (y+3)2 =9, it can be written as (x-4)2 + (y+3)2…

Q: Write the equation of a circle whose center is at (3, -2) and has a radius of 11. (x - D2+(y-[

A: Solution : The general equation for a circle  (x-h)^2+(y-k)^2= r^2

Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

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Q: The center of a circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: We have to find the equation of circle in standard form.

Q: Write an equation of the line tangent to the given circle at the given point.  (x - 3)2 + (y + 2)2…

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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: Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: Sketch the curves 2.)  y = 36 + 12x - x3

A: This question is taken from the curve sketching in which we have to sketch the given function. We…

Q: b. Find the equation of the line that passes through the center of the circle with 2 equation +y' +…

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Q: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

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Q: Determine the nature of the turning points for the curve y = x5 – 5x* + 5x³3 – 1.

A: Turning point of a curve: Turning point is a point where the graph has the highest value (maximum)…

Q: 3. Write the equation of the circle with center at (4,-5) and touching the line 3x – 2y -7= 0.

A: Consider that the center of circle be -4,-5 and line 3x-2y-7=0 touches the circle.   Since the line…

Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…

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