A circle passes through the origin and has its center on y=x.if it cuts x2 +y2 -4x-6y+10=0 orthogonally,then find the equation  of the circle. (b) The equation of three circles are given x2 +y2 -1,x2 -y2 -8x+15=0,x2 +y2 +10x+24=0 Determine the coordinates of   the point P such that the tangents drawn from it to the circles are equal in leng

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

A:

Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: x2 + (y − 4)2 = 1   Write the equation of the circle in standard form, (x − h)2 + (y − k)2 = r2.

A:

Q: Solve (-1+i)6 using De Moivre’s Theorem. Express final answer as rectangular form

A: Given term is: -1+i6

Q: Find all hyperbolic lines that passes through i +1 and parallel to the y-axis.

A: Find all hyperbolic lines that passes through i+1 and parallelto the y-axis.

Q: 2yy" = 1 + (y')² 2

A:

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

A:

Q: Give the center and radius of the circle whose standard form is (x+8)2 + (y-7)2=50

A:

Q: equation in standard form: (x²+(-²²-²² = center: : (30) √33 radius: 5. Consider a line segment with…

A:

Q: Find the equation of a circle that has a diameter with endpoints (5, 2) and (1, -6). A (x- 3)2 - (v…

A:

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

Q: You work for a radio station with a broadcast radius of 100 miles. On a particular coordinate plane,…

A: Topic- equation of circle

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: The general equation for a circle is a(x? + y*) + bx + cy + d = 0. There is exactly one circle…

A: a=1, b=-7 c=-9 d=0

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

A:

Q: If (x+ 5)+ (y - 1) = 10 is the equation of circle B, what is the length of the radius and the…

A: Given equation  (x + 5)2 + (y - 1 )2 = 10

Q: The equation of a circle is given by (x+ 4)² + (y+ 1)² = 36. Find the coordinates of the center of…

A: Given: x+42 +y+12 = 36 To find: The coordinates of center of given circle.

Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

A:

Q: In the xy-plane, line & passes through the point (0,0) and is parallel to the line represented by…

A: