1) The following question contains 2 statements. Statement -1: The equation of the tangent line to the curve 5x² – 4xy– y = 0 at (2, 2) is x- y = 0 Statement -2: The Equation of the tangent line at (x, , y; )is y – yı = m(x – x1), where m' is the derivative of the curve at the given point. Choose the best option that describes the above two statements. Give reason for choosing a particular option. I. Both statements are true and statement -2 is the correct explanation of statement -1 II. Both statements are true and statement-2 is not correct explanation of statement -1 III. Statement -1 is true but statement -2 is false. IV. Statement -1 is false but statement -2 is true.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

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A: Given, y=x3-6x+2 at the point (2,-2)

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Q: Find an equation of the tangent line to the curve at the given point. y =  4x x + 3 ,…

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Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: Find the equation of the tangent line to the function f(x)=−2x^3−3x^2−2x at the point (−1,1). Give…

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Q: 5. Write the equation of the tangent line to the curve of y = e³x + cos(-x) at the point (0,2).

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Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

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Q: 9. Find equation of the tangent line to the graph of x* +y+xy' = 3 %3D at the point (1,-2)

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Q: The slope of the tangent line to the curve y at the point (2, 1) is: The equation of this tangent…

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Q: 3. Find the equation of the tangent line to the curve x'y+y°x= 30 at point (1,3).

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A: Derivative y with respect to x and then substitute the given point to find the slope.

Q: Find the equation of the tangent line to the curve x^2 + xy + x^2 = 3 at the point (1,1

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Q: Find the slope of the tangent line to the curve defined by 3x + xy - 2y = 56 at the point (2, 5).…

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Q: Find the equation of the tangent line at the given point on curve. x2 + y2 = 25; (-3, 4)

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A: Using Derivatives & Application of derivatives

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Q: 1. Find the equations of the tangent line and the normal line to the curve y = V4x – 3 at the point…

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Q: find the equations of the tangent line normal to the curve of the given point (0,2) y=(2+x)e^-x

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Q: 11. Find the equation of the tangent line to the curve 2 sin(ry) = x at the point (1, 7)

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Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3)…

A: Given query is to find the value of x where seri is -1.

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Q: Find the equations of tangent lines from S = 0 from the point A(0,0)

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: 4. Find an equation of the tangent line to the curve x – 1 | at the point (3, 2). ||

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 1. Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

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Q: There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x − 8y + 3…

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Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

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Q: Find an equation of the tangent line to the curve at the given point:  y=(2x+1)/(x+2) ,    (1,1)

A: To determine the equation of the tangent line.

Q: 3 - at the point (3, 1) is: The slope of the tangent line to the curve y The equation of this…

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Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: Given that      x = 6 + ln(t) , y = t2+7 ,(6,8) Here we have to find an equation of the tangent line…

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Q: 5. Find the equation of the tangent line (slope-intercept form) to the 5 at the point (6,1). x-1…

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Q: Find the equation of the tangent line to the curve at the given point. y = 3x − 2x^1/2   (1, 1)

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x² - 3xt 1), (3, 0) y…

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Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.