5. Given the circles C: x² + y² – 6x – 4y +9 = 0 and C2:x² + y2 - 2x-6y +9 = 0, Find, (a) the equation of the circle Cy which passes through the centre of C,and through the point of intersection of C, and C2. (b) the equations of the two tangents from the origin to C, and the length of each tangent.

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: A circle in the xy- plane has equation (x – 2)2 + (y + 5)2 = 36. %3D Which of the following points…

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: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

A: Using general equation of circle

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

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: . If a point P is moving such that the lengths of tangents drawn from P to the circles x² + y² +8x…

A:

Q: (b): §. (x* – 2y³)dx + (2x³ – y*) dy, where C is the circle x² + y² = 4.

A:

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 9. With…

A: To find the equation of the circle in general form that satisfies the given condition.With center on…

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: C. Find the DE of a family of circles with center at (1, -2). Hint: Equation of circle with center…

A:

Q: Demonstrate that the circles (x- 2)² + y² = 2 and x? + (y – 2)? = 2 share tangent at point (1,1),…

A:

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: 38. What is the standard equation of a circle with center (6, -2) and radius 3? A. (x-6)2 + (y-2)² =…

A:

Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

Q: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

A:

Q: locus of the circumcentre of variable triangle having sides x = 0 , y = 2 and lx + my = 1 where (l ,…

A: Ans:-             C=0,1m, B=1-2ml,2,A0,2           let h,k be the circumcenter 07 ∆ABC…

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: Which of the following equations describes a circle with radius 10 that passes through the origin…

A: Given : Equations of circle : A) (x - 5)2 + (y + 5)2 = 10 B) (x - 5)2 + (y + 5)2 = 100 C) (x -…

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- What is the value of f 3z2+7z+1 dz z+1 (a) If C is the circle |z+1|=1. (b)If C is the circle…

A:

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

A: Circle

Q: A circle with radius 2 contains the point (1,-4). Which of the following equations best describes…

A: The given point is 1, -4The radius is 2

Q: What is the standard circle equation from the general circle equation: x2 +y? +8x=144+12y O K+42…

A:

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

A:

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: Find the DE of a family of circles with center at (1,-2). Hint: Equation of circle with center (h,…

A: We know that equation of circle with center h, k and radius r is given by, x-h2 + y-k2 = r2 We have…

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) What is the standard equation of the circle with a Center (0,0) and a radius of 2.5? (x-h) ^2 +…

A: Given: The center of the circle as (0,0) and radius as 2.5. The objective is to find the equation of…

Q: 2x +2y +4 + 8y + 2 = 0 is the equation of a circle with center (h, k) and radius r for: h and and

A:

Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

A:

Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

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: Concentric with the circle x ^ 2 + y ^ 2 - 4x + 6y - 17 = 0 and 3x - 4y + 7 = 0 equation of the…

A: Solution:- x2+y2-4x+6y-17=0 x2-4x+6y+y2=17 x2-4x+4+6y+y2+9=17+4+9 x-22+y+32=30 Center of circle (2,…

Q: 1. Find the equation of the center and radius of the circle: x² + y² + 4x - 8y- 5 = 0

A: Follow the procedure given below.

Q: 7. Show that: x² + 8x + y2 – 10y - 8 = 0 is the equation of a circle. What is the center of this…

A:

Q: B. Find the equation of the circle (in standard form) defined by the fol 6. endpoints of the…

A: As per our guidelines we are supposed to answer only 3 sub-part of the question

Q: The equation of the circle that is concEntric with the drcle x+2x+ y-8y+14=0 and touches the y-axis,…

A: The equation of the circle with centre at (a,b) and radius r is (x-a)2+(y-b)2=r2

Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

A:

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: 5) Write the equation of the circle with radius 3 and center (1, -7). a) O (r+1)+(v-7)²-9 b)…

A: Solve for the equation of the circle

Q: What is the standard equation of the circle center at (3, 4) and tangent to the line x + 2y = 1? A.…

A:

Q: ind the equation of a line tangent to the circle x2 + y2 - 8x -14y + 52 = 0 at point (7,5) a.…

A: we have the equation of circle is  x2+y2-8x-14y+52=0  .........(1) differentiate with respect to x

Q: Find the equation of the circle with center at (-9,6) and radius V5- (x+ 9)² + (y – 6)² = 5 O (x-…

A:

Q: Find the equation of the circle of radius 3 with its center at the origin. 35. [A] x² +y² = 9 [B] x²…

A: The standard equation of the circle is: x-h2+y-k2=r2, where h,k and r is radius. We have given a…

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

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.