Evaluate P (3x + 4y) dx + (2x – 3y) dy where 'C is the circle x?+y = 4.

Q: nd the condit. on if the circle whose equation a x² + y² + c² = 2ax = 0 and x² + y² + c² = 2b y = 0…

A: The two circles are x2+y2+c2=2ax=0 and x2+y2+c2=2by=0.centers:C1(a,0),C2(0,b)radii:r1=a2=c2,r2=b2-c2

Q: Find the distance from the point (5,8) to the circle x2 + Y2 + 2x + 6y + 3 = 0

A:

Q: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

A:

Q: Evaluate 12x-7 dz where (2213) (2-1)² Cis the circle Z = 2

A: Approach to solving the question:  Detailed explanation:

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A:

Q: Is the point (-15, 15) on the circle defined by (x+15)+(y-15) = 100? Yes No X Ś

A: To determine whether the given point lies on the circle or not.

Q: Draw the circle (x+2)2+ (y-1)2=4

A: Given: (x+2)2+(y-1)2=4         ......(1)

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: what

A: Please refer to the image below

Q: What is the center of a circle with equat (x + 4)2 + (y – 3)2 = 17

A: We can find the required center of circle from the given circle equation as below.

Q: What is the center of the circle x^2 + y^2 – 4x + 6y – 36 = 0? O (-2, 3) O (3, -2) (2, -3) O (2,…

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Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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Q: • Calculate = 3 2+5 2-3 on the circle |z|

A: