(3 marks) Find the equation of a circle whose center is at (3, 3) and tangent to the circle x? + y? – 6x – 8y + 16 = 0. Draw the circles.

Q: Write the equation of the circle with center at   (4, 3) and touching the line 3x + y = –15.

A: Given that, the circle with center at 4,3 and touching the line 3x+y=-15.   The objective is to…

Q: Write the equation of the circle with center at (0, 0) and touching the line 5x – 12y = 52.

A: The standard equation of a circle is represented as (x-h)2+(y-k)2=r2. Where (h, k) is the center of…

Q: Find an equation of the circle that has center (-2, 3) and passes through (2, - 2). O=0 ১ ?

A: First calculate the radius of the circle the write equation in standard form.

Q: Let X = R³ be a vector space over afield F and A = {(2, 4, 3), (0, 1, 1), (0, 1, -1)} Is it possible…

A: Let , the given set is A= .To Determine: whether it is possible or not to construct a linearly…

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

A:

Q: Identify the center and radius of the circle defined by the equation: (x – 2)2 + (y- 3)² = 9 o…

A: Given the equation of a circle : x-22+y-32=9   Standard equation of a circle: x-h2+y-k2=r2 where h,k…

Q: Find the standard form of the equation of the circle with a diameter having two points (1, -6) & (7,…

A: The end points of diameter of the circle are (1,-6)  and (7,2). The standard form of equation of…

Q: Find the equation of a circle whose center is at (5, -1) and radius 3.

A: Equation of a circle is given by : ( x - h )2 + ( y - k )2 = r2  Where (h,k) is the centre of the…

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: 3. Let A = {u= (u₁, U2, U3): [0, 1] → R³ | u € C¹, u(0) = A, u(1) = B} and consider the holonomic…

A: We need to find such a function u→=(u1,u2,u3)∈A, such that we need to minimize the functional…

Q: i 9. A= |-i 1 - i 1+ i 8. Use gram-schmidt to find the orthogonal basis for the four fundamental…

A: This method is termed as to change the subspace basis vector from alignment of arbitrary to the…

Q: Give the standard form of the equation of the circle that has its center at (-5, -8) and diameter of…

A: Formula:

Q: Find an equation of the circle that has center (2, -3) and passes through (-2, 2). 0 0=0 X ? 00 D

A: Given that, The circle has center 2,-3 and passes through -2,2. Find the equation of the circle.…

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

A: Given,

Q: Which are the center and radius of the circle with equation (x + 5)- + (y – 4)² = 9? O A. (-5, -4);…

A: Option C is correct. Please see below for solution

Q: Find the equation of the circle

A: Given equation x2+y2-6x-4y+9=0