4 Find a. the equations of the tangents to the circle x +y +4x-2y – 24 = 0 at the points where the circle cuts the line y= x. b. the length of the tangents from the point (2, 5) to the circle x + y -14xr- 2y + 34 = 0

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y2 -8x-6y +9…

A:

Q: Consider the curve defined by the equation 2x + y = 3xy for questions (4-6). %3D 2 1 -3 -2 -1 1 2 3…

A: The given curve is: 2x3+y3=3xy

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: 23. The line 3x - 4y + 14 is a tangent to the circle

A: 23 Given equation of tangent is 3x-4y+14. General equation of circle is x2+y2+2gx+2fy+c=0 radius of…

Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

A:

Q: 20. The tangent of the acute angle between the y= 4x-3 and y=x-5 is 2 (A) 5 [B) [C) 3 (DJ The radius…

A: tan(θ)=m1-m2/1+m1m2

Q: nd the equation of the tangent to the circle X^2+Y^2-8X+2Y+7=0 at point (3,2), given that point…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Calculate the equation of the circle that passes through the point (0, -3), whose radius is V5 and…

A: we know that equation of circle (x-h)2+(y-k)2=r2  Here radius of circle is 5 ,here circle passing…

Q: ecall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

A:

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: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

Q: Find an equation of the circle with center at (– 5, – 5) that is tangent to the y-axis in the form…

A:

Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center…

A:

Q: Find equation of the circle ( in general form ) that satisfies the given condition. 11. Equation of…

A: This question is based on conic section.

Q: Find the equation of the circle in standard form satisfying the given conditions: C(7,4) externally…

A:

Q: What is the equation of a circle that passes through the vertex and the points of latus rectum of…

A:

Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: 5. Given the circles C: x² + y² – 6x – 4y +9 = 0 and C2:x² + y2 - 2x-6y +9 = 0, Find, (a) the…

A: The general equation of equation is By comparing the general equation of a circle  center…

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

A:

Q: 1. Find the equation of the circle that circumscribes the triangle whose sides are formed by the…

A:

Q: 7 Find the coordinates of the points of intersection of each of the following pairs of circles. x'…

A: Since you have asked multiple questions in single request so we will be answering only first…

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

A:

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 an equation of the line which is tangent to the circle z + y - 4x + 6y – 12 = 0 at the point…

A:

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

Q: What is the equation of a circle in general form with center at C(8, – 9) and tangent to the y- axis…

A:

Q: Given the circles Cx2 + y² – 6x – 4y + 9 = 0 and C2:x² + y2 - 2x- 6y + 9 = 0, Find, (a) the equation…

A: Circle Family of circle Tangent equation

Q: If a focal chord of y =16x is a tangent to the circle (x-6)° +y² = 2, then the positive value of the…

A: Introduction :__

Q: 1. Find the standard form of the equation of the circle tangent to both axes at (-3,0) and (0,3).

A:

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: Find equation of the circle (in general form) that satisfies the given condition: Equation of the…

A: Circle

Q: 22. Find the center and radius of the circle whose equation is x2 – 24x + 48 = -y² + 10y О С(12, 5),…

A: The solution is given as

Q: The equation of the circle that is concentric with the circle x2 +2x+y² – 8y+ 14=0, and touches the…

A:

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…

A:

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: 2) Given the circle x2 +y = 25 and point P (x,y,) on the circle, find the equation of the line in…

A: We have to find equation of line in slope- intercept form:

Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

Q: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

A:

Q: The standard equation of the circle with center (-1,-4) :and tangent to x-axis is اخترأحد الخیارات…

A: Stranded equations of the circle passing through center (h,k).

Q: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

A:

Q: Given a circle x²+y² +x+y-4 =0, a. Find the equation of the tangent to the circle at the point…

A: Given: x2+y2+x+y−4=0 Slope of tangent to the circle at point (1,1) will be given by the value of…

Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: Given the circle x^2 +y^2=25 and point P(x1,y1)on the circle, find the equation of the line in…

A:

Q: 2x + 2y + 16x + 4y+ 26 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: We will find  the center of the circle (h,k )and radius (r) in the following step.

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: 2. Write the equation of the circle with Center (-1, – 8) and Radius : V7 x2 + 2x + y? + 16y + 58 =…

A: Topic-analytic geometry

Q: The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of…

A:

Q: 2. Find the equation (in general form) of the tangent lines to the circle x² + y² - 8x + 10y = 128…

A: