Find the orthogonal trajectory of the family of curves x² + y² Cx

Q: Find the equation of the Bézier curve with control points P0 = (−1,−1), P1 = (−1, 1), P2 = (1, 1),…

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Q: 2. 3x + 4y +c = 0

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Q: ) Find the orthogonal trajectory of the family of curve given by y = In(r³ + b)

A: First formulate a differential equation to eliminate the parameter b . Then replace (dy/dx) by…

Q: The orthogonal trajectory of the family of curve (x-1)* +(y-2)* = a² is b) (y-2) = c(x-1) c) (x-1)²…

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Q: 5) Find the orthogonal trajectory of the family of curve given by y = In(r+b) %3D

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Q: Find the orthogonal trajectory of the given family of curves. y=(ce^(x))/x

A: According to the given information it is required to find the orthogonal trajectory of the given…

Q: Sketch in the two level curves of: f (x, y) = y+ x² = k _for k = 1, 2.

A: Solution is written in below steps.

Q: Find the orthogonal trajectory of the given family of curves. (x^2)+4xy+(y^2)=c

A: Given family of curve                                               x2+4xy+y2=c we have to find…

Q: Find the orthogonal trajectories of the family of curves. Sketch several members of each family y =…

A: We have given the curve; y = mx

Q: The orthogonal trajectory of the family of curve (x-1)* +(y- 2)² = a² is a) +y* =c b) (у-2) %3 с…

A: Given family of curve is

Q: Find the orthogonal trajectory of the given family of curves: 1. у%3DG;(sec x + tan x)

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Q: Find the orthogonal trajectory of the circles x² + y² + ay = 0

A: GIvenx2+y2+ay=0To findorthogonal trajectory of above curve.

Q: What are the coordinates of the points in the graph of y-x+6x-13=0 in which the tangent line is…

A: Given query is to find the point where tangent line is horizontal.

Q: Find the orthogonal trajectories for the family of curves y=c1x4

A: First of all rearrange the given equation in such a way that both the variables be on one side of…

Q: A circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope…

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Q: 1 - Sketch the curve : y=-(x3– 6x²+9x+6). 6 y=Lcx³-

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Q: What is an orthogonal trajectory of a family of curves? Describe how one is found for a given family…

A: There are some conditions for the orthogonal trajectories.

Q: 3. Find the line normal to the ellipse at X=-1 y= 2+4x-x3

A: Given, y=2+4x-x3 At x= -1 y=2+4-1--13y=2-4+1y=-1 Now point -1,-1

Q: Straight lines with slope twice the x-intercept.

A: Let us assume x-intercept is a. That is, x = a when y  =0. So,  slope  =2a. Let us assume that the…

Q: Find the orthogonal trajectory of the given family of curves. y=c*e^(2x)

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Q: The family of curves orthogonal to x2 + 4y2 = c2 has the general equation 04. %3D

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Q: Find the orthogonal trajectory of the given family of curves: 1. e* + e¬y = C1

A: We will solve the problem

Q: Find the orthogonal trajectory to the family of curves: y(x²+1) = Cx

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Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: Find orthogoral trajectory to the family of dircles 3 x² + y? = 2Cy.

A: We have given equation of curve x2+y2=2Cy Then, differentiate both sides we get…

Q: The family of curves orthogonal to ye2x = c is the family of curves whose general equation is?

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Q: Prove that the curves y2 = 4x and y2-6x+1 = 0 touch each other at the point (1,2)

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Q: Find the orthogonal trajectory of the curve a2 + y² = 2ln cx

A: The given family of curve is                                           x2+y2=2 ln(cx)

Q: Show that the solution of the equation YUx – xUy = 0 containing the curve x² + y² = a², u= y, does…

A: Given that y ux – x uy = 0, The Lagrange’s auxiliary equation for the given equation is given as:…

Q: Find the orthogonal trajectory of the family of y=ax

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Q: Find the orthogonal trajectory of the given family of curves: 1. y = C (sec x + tan x) 2. x = C,es*…

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Q: Explain why a cubic Bézier curve is completely determined by x(0), x (0), х(1), and x'(1).

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Q: Find the orthogonal trajectory. xy = k

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Q: is an arbitrary constant Orthogonal Trajectory:

A: First we derivative the given equation then form differential equation of orthogonal trajectory.

Q: sketch the curve r=1-3costheta

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Q: Find the orthogonal trajectory to the family of curve given below y²=x²(1-Cx)

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Q: Show that the curve In (2X-1) , n> i has no stationary point

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Q: When finding the orthogonal trajectory of the family of curves y = k x³, we dy get dx 2x y Зу 2у 3x…

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Q: Find the orthogonal trajectory of the given family of curves: 1. y = C(sec x + tan x)

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Q: Find the orthogonal trajectory of the curve x^2 + y^2 = 2 ln cx

A: Given query is to find the orthogonal trajectory of the curve.

Q: A circle has a center at the origin and has a radius of R. If x = 10 and y = 20, determine the slope…

A: Given that, There is a circle which center is at origin anf the radius is R. x = 10, y = 20 We have…

Q: Find the orthogonal trajectory of the family of curve, x² = C1y³.

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Q: 3. Find the orthogonal trajectory of the given family of curve x2 + y² = C1

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Q: (b) Show that the points of inflexion of the curve y = (x- a) (x – b) lie on the | line 3x +a =4b.

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Q: The orthogonal trajectory of the 1-parameter family of curves, y = cr will be given by: r² + y? = c…

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Q: (2) find the (x,y) coordinates of all points of intersection ot the curves.

A: b.(2) Given the polar equation of two cardioids r=1+sinθ,r=1-cosθ. To find the points of…

Q: Find the orthogonal trajectory of the curve x^2-y^2+2Cx=0

A: Given equation is: x2-y2+2Cx=0 Differentiating with respect to x we get, 2x-2yy'+2C=0⇒x-yy'+C=0…

Q: 5. The coordinates of the vertex of the curve y = 1- 2x - 4x² are: A. G ) B. (- 5 ) €(- ) D.(- -) 1…

A: Hi, for question 6 repost

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: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem