Given the circles represented by (x+9)² + (y 4)² = 52 and 12)²+(y-3)² = 13, find the length of a (x a Common internal tangent b Common external tangent

Q: Find the requation of a circle with centre C and radius r where C=(5,-3),r=4

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Q: the circle is the tangent to both x and y axis. A point on the circle is (2,1). Calculate the area…

A: This question is based on Circle.

Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

Q: iv) y=-x- 3 1 v) y=-2x+ vi) y=;* 1 21 y y y 1 =-2.5 1 2 2 y y y 2 2 2 -2 -2 -2 2 -2 2 2 y-intercept:…

A: We have to write equation in the form x/a+y/b=1 for y-intercept , here b is y-intercept

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: (a+2) + (y-1)² = 4 Hint: Find the center and radius of your circle first. Then choose

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Q: 6. Find the equations of the two circles with centres A(1, 1) and B(9,7) which have equal radii,and…

A: Here the objective is to find the equation of two circles with centers A (1, 1) and B (9, 7) which…

Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: Given four lines which are tangent to both circles C₁: x² + y² =4 and C₂: (x-4)² + y2=1, find the…

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Q: Find the point(s) of intersection of two circles, one centered at the origin and, the other,…

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Q: Use the Distance Formula to show that the circle with center (0, 0) and radius length r has the…

A: Given: x2+y2=r2 Formula used: OA=x-02+y-02

Q: Create the formula for circles with center on the line y = -x and passes through the origin

A: Introduction The equation of circle gives an algebraic approach to define a circle given its centre…

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

A: Approach to solving the question:  Detailed explanation:

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: I need to write an equation of a circle with the given properties. Can you please help me? r = 4,…

A: To write the equation of circle with the given properties.

Q: Find the angle at which the circle  x2+y2 +x+y=0 and x2 +y2 + x-y=0 intersect.

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Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

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Q: What is the distance between the points A: (-2, -4) and B: (-4, -2)? O 2/2 O 4 O 62

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Q: A ladder leans against the side of the house the latter is 19 feet long and forms an angle of…

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Q: Find the length of a semi-circle with endpoints at (1,3) and (4.7)/

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Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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