Find the normal form of the line 3x + 4y – 10 = 0 and its where distance from the origin.

Q: Find the condition that the line ax+by=1 may be a normal to the curve an-1y=xn

A: To find the condition of line ax + by = 1 which is normal to the curve a^(n-1) y = x^n

Q: Find an equation of the normal line to the parabola y= x2 -5x +4that is parallel to the line  x-3y…

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Q: Determine the equation of the normal line to the surface In (x + y) = Z 2 at the point (-1,2,0)

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Q: Find the normal to the curve y = 1 - x at the point (3, -8).

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Q: What is the equation of the normal line to the curve x2 + y? - 6x- 2y=0 at (2,4)?

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Q: Find the equation of the normal line to the curve y = at a) 8x + 2y = 7 b) 2x + 8y 7 c) 8x-2y = 7 d)…

A: As we know that, The equation of the normal line to the curve at a given point is; y-y1=mx-x1 Where;…

Q: Find an equation of the normal line to the curve  y = sqrt(x)  that is parallel to the line  4x +…

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Q: Find the points on the curve 9y = x where normal to the curve makes equal intercepts with the axes.

A: Since, the equation of curve is given by 9y2=x3-(i)⇒y2=x39⇒y=±x33Differentitaing equation-(i) both…

Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line…

Q: Find an equation of the normal line to the curve y = vx-3 which is parallel to the line 6x + 3y-4 0.

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Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x -…

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Q: Find the equation of the normal to the curve y=x²-x -2 at the point (1, -2)

A: Given curve , y=x2-x-2 we have to find the equation of the normal to the given curve at the point…

Q: Find the equation of the normal line to the curve x3+y2+2x−6=0 at the point (−1,3).

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Q: find an equation of the normal line to the curve y = x4/4 +16/x4 at (-2,5)

A: Given: y=x44+16x4 for finding equation of normal at given point x1,y1, we slope m of normal at given…

Q: Find an equation of the normal line to the parabola  y = x2 − 4x + 1  that is parallel to the line…

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Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: Find an equation of the normal line to the parabola y = x2 - 5x + 4 that is parallel to the line x -…

A: y=x2-5x+4 Differentiating with respect to x, we get dydx=2x-5 Now slope of the normal line is,…

Q: nd the equation of the normal line to the curve y 3x2 - 2x + 1 at (2, 9).

A: To find the equation of normal line to the curve y=3x2-2x+1 at (2,9) Solution: Given equation of the…

Q: What is the point on the curve at which the normal line is parallel to the line Y = - 3X + 6? (The…

A: The function is given by y = 2x+1 The equation of the line is y = -3x+6 To evaluate: The point on…

Q: Find an equation of the normal line to the curve y = Vx that is parallel to the line 6x + y = 1. y =

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Q: Find an equation of the normal line to the curve of y = Vx that is parallel to the line 6x + y = 1.…

A: Given that: The curve y = x parallel to the line 6x + y = 1 To find: The equation of normal line to…

Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

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Q: Find an equation of the normal line to the parabola y = x 2 - 5 x + 4 that is parallel to the line…

A: Given:       y=x2-5x+4 is parallel to the line x-3y=5.

Q: Find the equations of the normal line to the surface z = 2x°y* at the point (2, 2, 256). y = 2 = -t…

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Q: Find the equation of the normal line to the curve y=(1+2x)^2 at (2,25)

A: Equation of a normal line to the curve y=f(x) at point x1,y1 is given by y-y1=-1dydx(x1,y1)x-x1.…

Q: Find an equation of each normal line to the curve y = x³ – 3x that is parallel to the line 2x + 18y…

A: Solve the above question.

Q: Write the equation of the normal drawn from the point (1, -2) on the circle x²+y²-4x+6y+11 = 0

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Q: What is the equation of the normal line to the ellipse 8x^2 + 32y^2 = 256 at the point (4,2)?

A: the equation of the normal line to the ellipse can be found by differentiating the given equation…

Q: Find an equation of the normal line to the curve y = x1/2 that is parallel to the line 2x + y = 1.

A: To determine a normal to the curve which is parallel to the given line

Q: What is the equation of the normal line to the parabola y = 2x? – 5x + 1 at the point on the…

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Q: Find an equation of the normal line to the curve y= sqrt(x) that is parallel to to the line 2x+y=1.

A: The equation of the curve is y=x and the equation of the line parallel to the normal line is 2x+y=1.…

Q: What is the equation of the normal line to the curve 2x3 +2y³ – 9xy = 2 at the point (0,1)?

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Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

A: Given that: x=4 sinty=cos2t Find the slope of the normal at t=π4 We have to find the slope of normal…

Q: x + 2x – 3, that is also parallel to Find the equation of the normal line to the parabola y – 2x +…

A: Definition used -                         Slope of normal - The slope of normal at a point is the…

Q: Find the equations of the normal line to the surface z = 2a'y* at the point (2, – 1, 16). | x = y =…

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Q: Find the normal to the curve y = 1 - x2 at the point (3, -8).

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Q: Find an equation of the normal line to the parabola y = x2 - 8x + 9 that is parallel to the line x -…

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Q: Find an equation of the normal line to the curve of y = x that is parallel to the line 6x + y = 1. y…

A: Draw the graph of the given curve and the given parallel line.

Q: Find the equation of the normal lines to the curve y=x^3-2x+1 that is perpendicular to the line…

A: Consider the given equation of the curve as y=x3-2x+1. Differentiate with respect to x we get as…

Q: Find the equation of the normal line for the curve y = -x3 + 3x2 + 4 at x=1

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Q: Find the equation of the Normal Line to the curve y 2 = x at (4, 2). A 4х — у — 18 %3D 0 B 4х + у 18…

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Q: Find the normal form of the line 3x+4y-10=0

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Q: For the curve x - 2t and y = t-1, what is the equation of the normal line when t=2

A: Given,x=2t.................(1)andy=t-1..................(2)Now,Differentiating both the equations…

Q: What is the equation of the normal line to the ellipse 8x^2 + 32y^2 = 256 at the point (4,2)? O y =…

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Q: Find the equation of the normal to the curve y=x2-x-2 at the point (1,-2)

A: To find the normal to the curve.

Q: What is equation of the line normal to graph of y = x^3 + 3x^2 + 7x - 1 at the point where x = -1? O…

A: Solving the problem by finding the normal of the given equation.

Q: Find the equation of the Normal Line to the curve y² = X at (4, 2)

A: Given that,Equation of the curve is y2=x We need to find the equation of the normal line to the…

Q: Find the equation of the normal line to the curve y = 3x^2 – 2x + 1 at P(1, 2).

A: Topic = Application of Derivative

Q: Find the equation of the normal line to the curve 2x/y - 3yvx + 5xy = 22 in the point (4, 1).

A: Given,         The curve is 2xy-3yx+5xy=22 in the point 4,1.