Find for the equation of a circle with center at (-1, 4) and passes through the point (3. 2). (General form) O x* +y + 2x - By -3.0 O x*+ y? + 2x - 3y-8 = 0 O x* + y* + 3x - 2y - 8 =0 O O

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: 13. Find the equation of a circle with center (-4,3) and radius V12. A. (x-4)° +(y+3)' = V12 в.…

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

Q: Find the length of the curve y = 3/2 from a = 0 to a = 3.

A: Given curve is y=43x32   Length of the curve is L=∫ab1+dydx2      ......1 Here given a=0 and b=3 and…

Q: Find the equation of the circle that passes through (1, 0) and (0, 1) and is tangent to the x-

A: Here we have to find the equation of the circle that passes through (1, 0) and (0, 1) and istangent…

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: 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 the equation of the circle that passes through the point (9,7) and is tangent to both the y…

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

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Q: 1. Find the equation of the circle whose center is (1,-1) and which passes through the center of the…

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

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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: 10. Find the center and radius of the circle whose equation is x² + 5x + y² – 6y + 12 = 0. A.…

A: To find The center and radius of the circle.

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

A: First find the equation of the tangent. The point (1,2) is tangent to the given circle. The general…

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

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Q: 1. Find the center and radius of circle x2 + y--2x-4y+1= 0.

A: 1) To find the center and radius of circle x²+y²-2x-4y+1=0

Q: Q2) Let the equation of the circle is given as x² + y² + 2x – 4y – 11 = 0. Find the dis between the…

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Q: Find the length of the curve Y = 4x^3/2 from x = 1 to x =8

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Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9

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Q: ind the equation of the circle that pass through the intersection of the circles x2 +y2 +2x +4y-4=0…

A: Here we have to find the equation of the circle that passes through the intersection of the circles…

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: 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: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

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: Find the exact length of the curve y=x^4/4+1/(8x^2 ) , 1≤x≤2.

A: Given: The expression to calculate the length of a curve 'y=f(x)' is over the interval [a,b] is,…

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x+ 12. O (-2-6) O (2.6) O (2. -6) O…

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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…

A:

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: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

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Q: Find the length of the curve y=3/2 x^2/3 from x=1 to x=8

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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: Here, the given equation of the circle is (x-3)2+(y+3)2=50. We need to find the equation of the…

Q: 2. Let be the part of the circle x² + y² = 9 from (-3,0) to (0, 3) in the upper left quadrant.…

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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: 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: Find the lengths of the curves y = 2/3 x3/2 - 1, 0 ≤ x ≤ 1

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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: 5) Write the equation of the circle with radius 3 and center (1, -7). a) O (r+1)+(v-7)²-9 b)…

A: Solve for the equation of the circle

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

Q: ont 9. x2 + y2 – 2x + 10y +1 = 0 10. x2 + y2 -6y - 4 0

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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: 3x² + 3y² – 24x − 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h =…

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

A: Given,  (a) Equation of the circle   x2+y2+4x-2y-24 = 0  We have to find the equations of tangents…

Q: Find the exact length of the curve. y = (2/3)(1 + x2)3⁄2,      0 ≤ x ≤ 2

A: Given: - The curve is, y=23(1+x2)32,  over the interval, 0≤x≤2 To find: - The exact length of the…

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

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.

Q: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

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Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

A: