The orthogonal trajectories of the family of curves y= cx2 is A x=ky? B x? +2y? =k © x2 = ky? D 2x2+y²=k

Q: 7x – 4xy = C

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Q: The orthogonal trajectories of the family of curves y = cx² is A x=ky² B C x²+2y²=k 2x² + y² = k

A: We have to find the

Q: 1. Find the orthogonal trajectories of the family of curves x? + y2 = cy.

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Q: Find the orthogonal trajectories to the family of curves: x² = C-v'(ln y² –1).

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Q: 2x Find the orthogonal trajectories of the family of curves y = Ce" .

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Q: Find the value of the number such that the families of curves  y =(x+c) -1  and y = a ( x+k) 1/3 are…

A: Given,

Q: Q-23 (aT trajectories of the families of y? = 2ax, where a Find the orthogonal being a parameter.

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (F) 2y³ + x³…

A: Introduction: An orthogonal trajectory of the family is any curve that cuts each member of a…

Q: What is the isogonal trajectories cutting at angle of 0= arctan 4 to the family of curves whose…

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Q: Find the family of oblique trajectories that intersect the family of the paraboles y = Cx at angle e…

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Q: Find the orthogonal trajectories of the family of curve y = 3x+c,where c is an arbitrary constant.

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Q: Find the orthogonal trajectories of the given family of curves x - 4y c.

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Q: Find the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)

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Q: The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D…

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Q: (6) Find the orthogonal trajectories of the family of curves r= 2C cos 0, where C being parameter.

A: Consider the given curve. r=2Ccosθ          (1) Find the derivative of the given equation.…

Q: Find the orthogonal trajectories of the family of curves r² + y² = 2my where m is a constant.

A: As given equation of curve is: x2+y2=2my Differentiate it with respect to x:…

Q: Which of the following is the orthogonal trajectories of the family of curves y^(5) = kx^(4)? There…

A: To find orthogonal trajectories in the curve substitute -dx/dy for dy/dx in the differential…

Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¯2y.

A: We need to find the orthogonal trajectories of the family of the curve given by x2=2y-1+ce-2y We…

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

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Q: Find the orthogonal trajectories of the family y = 1 - sec?r + C 4

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Q: The orthogonal trajectories of the family of curves y = cx2 is A x=ky? B x²=ky² © 2x2+y²=k D…

A: Solution

Q: 3. Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle…

A: given family of parabolas y2=cx at angle θ=60° claim- find the family of oblique trajectories that…

Q: 4. Find the orthogonal trajectories of the family of curves y=Ce*™ +10

A: We have to find the orthogonal trajectories of the family of curves

Q: The orthogonal trajectories of the family of curves y= cx2 is A 2x²+y²=k B x²+2y²=k © x=ky? D x²=ky²

A: Given family of curves is y = cx2 We have to find the orthogonal trajectories.

Q: 7

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Q: Find the orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x°(1– cx);

A: We have to solve

Q: Given the one-parameter family of curves y² = Cx³ + 5. Find the family of orthogonal trajectories.…

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Q: Find the orthogonal trajectories to the family of curves: r=c- (in y -1).

A: Orthogonal trajectories can be find in the following way: (i) differentiate given family of curves,…

Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves…

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Q: Which of the following is the orthogonal trajectories of the family of curves y = ax³ ? x³ + 3xy² =…

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Q: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family…

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Q: Find the orthogonal trajectories of the given family of curves x^2 + y^2% D c^2. *

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Q: Find the equation of orthogonal trajectories of the given function 8x² + y² = c.

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Q: 6. y = C Sin x

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

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Q: 02) Find the orthogonal trajectories for the family of curves given by x²y = k where parameter k is…

A: to find orthogonal trajectory we need to differentiate the equation and then replace dydxby…

Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x*(1 – cx);

A: The given equation is y2=4x21-cx. Find the orthogonal trajectories of the given family of the curve.

Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves…

A: Given; y2=2x+c Now differentiate the given function with respect to x.…

Q: 4) Find the orthogonal trajectories of the family of parabolas y – 3 = c(x + 1)².

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Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¬2v.

A: Given information : Family of curves :  x2 = 2y -1 +ce-2y

Q: (6) Find the orthogonal trajectories of the family of curves r= 5C cos 8, where C being parameter.

A: we have to find the orthogonal trajectory for the given function

Q: Find the orthogonal trajectories of the given family of curves y? = tcx 1-cx

A: The orthogonal trajectory is the family of curves that is perpendicular to the given curve. The…

Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle e…

A: The answer is given below:

Q: The orthogonal trajectories of the family of curves y= cx² is A x² = ky? x² +2y² =k В © x=ky? D 2x2+…

A: In this question we have to find the orthogonal trajectories of the family of the curves y=cx2

Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k

Q: (6) Find the orthogonal trajectories of the family of curves r= 2C sin 0, where C being parameter.

A: See the detailed solution below.