curve passing through (1 0) is such that the ratio of the square ofthe intercept - any tangent offthe y - axis to the subnormal is equal to the ratio to the ratio of oduct of the coordinates of the point of tangency to the product of square ofthe of the tangent and the subtangent at the same point. Detenmine all such possible curves.

Q: There are two tangent lines to the curve y %3D x+ 1 that are parallel to the line x - 2y = 2. Find…

A: We first find dy/dx suing quotient rule

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at the…

A:

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: A reversed curve is to con tangents which is parallel to ea and are 200 m apart with directio east.…

A: Given: To explain the given statement as follows, The given details are, V = 200 m h = 800 m

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² of the point of intersection of…

A: Let R(h,k) be the point of intersection of the tangents drawn at P and Q to the given circle.Then PQ…

Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: y=11-x Also, the given Slope is -1

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: Answer

Q: FIND THE SOPE OF THE TANGENT LINE TO 5x) AT THE POINT (x, 9(x)). 2.

A:

Q: For the curve y = ax + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A: we have to solve the problem

Q: A curve passing through (1, 0) is such that the ratio of the square of the intercept cut by any…

A: We have to find the possible curves that satisfies the given condition.

Q: Let x = a(cost + sin t), y a(sint- teos t). Find C. tant D. cott 38. A. sect B. cost Eliminate the…

A: (38) Given that , x=acost+tsint , y=asint-tcost find dydx=?

Q: Tangents are drawn from the points on the line x -y - 5 = 0 to x2 + 4y2 =4. Then all the chords of…

A: Tangents are drawn from the points on the line x-y=5 to x2+4y2=4

Q: The tangent to the circle x\power{2}+y\power{2}=5 at (1,-2) also touches the circle…

A: The equation of tangent to x2+y2=5 at (1,-2) is x-2y-5=0.putting x=2y+5 in the equation of circle,we…

Q: For the cruciform in the figure below, the equation is x²y2 - 9x2 – 4y2 = 0, find the equation of…

A: To find the equation of the tangent line for the given curve.

Q: Consider the lines normal to the curve 3x2 - y2 = 8 that are parallel to line x + 3y =4. Let A be…

A: In this question, concept of tangent and normal is applied. Tangent and Normal A tangent is a…