(4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0), (1,–1), (1,1)

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: Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).…

A:

Q: is the point (3,5) on the circle defined by (x-3)^2 + (y-5)^2=36

A:

Q: Find the equation of a circle in standard form. center at (-4,3) and tangent to the x-axis O…

A:

Q: Find the minimum distance from the point (3, 0) to the circle x2 + y2 = 4.

A:

Q: Find the equation of the locus of the center of the circle which moves so that it is tangent to the…

A: Find equation of locus :

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

A:

Q: Consider the curve y = 3x3, The sketch of the portion of this curve between x = - 1 and x = 8 is…

A:

Q: Find the equation of the circle that passes through the point (9,7) and is tangent to both the y…

A:

Q: C. Determine the center and radius of each circle in general form. Then draw its graph. 1. x² + y² -…

A:

Q: 1. Transform the general equation of the circle x² + y² + 8x - 2y - 8 =0 into its standard form and…

A:

Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

A:

Q: The equation of a family of circles with center (2,k) and radius r that is tangent to the x-axis is?

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

A:

Q: The graph, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is ....

A: This question can be solved using the concept of volume of solid generated when curve is rotated…

Q: Sketch the graph of the curve r = 2+4Cose

A: Given equation: r=2+4 cos θAmplitude: 4This equation will have the same time periodas sinθ which is…

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

A:

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: 12. Find the center and radius of the circle x² + y² + 4x – 2y – 4 = 0. Graph this circle.

A: x2+y2+4x-2y-4=0

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

A:

Q: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

A:

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

A: Circle

Q: (2– 1)° + (y+ 3)² = 16- Which graph shows the circle whose equation is %3D

A: General form of equation of a circle with center (h, k) and radius r is,             (x—h)2 + (y—k)2…

Q: The graph, when the curve y = √3 + x² from x = 0 to x = 4 is rotated about x - axis is A B C D

A: To find the graph of the solid formed by rotating the given curve about x axis, first we find the…

Q: Find equation of the circle (in general form) that satisifes the given condition: With center on…

A: find the equation of circle using given information.

Q: x2+y2−2x+2y+1=0 is the equation of a circle with center (h,k)(h,k) and radius rr for: h=h=   and…

A: We will solve the given equation in form of (x-h)2 + (y-k)2 = r2

Q: Find the equation of a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

A:

Q: Find the length of the tangent to the circle x² + y² − 2x − 3y − 1 = 0 from the point (2, 5)

A: Solution- The equation of the circle x2+y2-2x-3y-1=0 The point =2,5 length of the tangent

Q: 29.Consider the circle (x + 1)² + (y – 3)² = 116. Find an equation for the tangent line drawn to the…

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

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

A:

Q: Find for the equation of a circle with center at (-1, 4) and passes through the point (3. 2).…

A:

Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

Q: 4. The graph of the equation (x- 1)² + (y – 2) = 9 is a circle with center (, -) and radius

A: Given: Graph of the equation (x-1)2+(y-2)2=9

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: 17) Write the equation of a circle with a center at (7,3) that contains the point (-5,8). A)…

A: The answer is found in step-2.

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

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: 3x² + 3y² – 24x − 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h =…

A:

Q: Find the paths orthogonal to the family of curves: cy ^ 2 = xe ^ x

A: Orthogonal path is a curve if it cuts every member of a given family of curves at right angles.

Q: 10. Find the equation of the circle that has a center at (3, 3) and is tangent to the y- axis? a.…

A:

Q: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

A:

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

A:

Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: