Q: Find a pair of curves such that, (i) The tangents at points with equal abscissae intesection on y-axis. (ii)The nomals drawn at points with equal abscissae intersect on X -axis. (iii )One curve passes through (1,1) and the other passes through (2,3)

Q: If y is a differentiate function of x, then the slope of the curve of; xy^2-2y+4y^3=6 At what…

A: given that y is a differentiate function of x then we have to find the slope of the given curve at…

Q: Find the slope of the line tagent to the curve of y = In x/x at point (1,0)

A:

Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: Arc length is defined as the distance between two points on the curve. It is done in such as way…

Q: A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

Q: A variable straight line is drawn through the point of intersectio straight lines x / a+y/b = 1 and…

A: Given lines arexa+yb=1               ....(1)and  xb+ya=1               ....(2)Solving (i)and(ii) we…

Q: 2. (6 marks) Find the slope of the line tangent to f: y = 2/5x + 1 at the point (3,8). c) - D) E) -…

A: Answer and explanation is given below..

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 variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1…

A: We use midpoint formula here.

Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A:

Q: For the curve y = ax³ + 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: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

A:

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: Determine the point on the curve y 16 a² where the tangent line is horizontal. A (2, 12) (-2, -12)…

A:

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: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: If y=f(x) be the curve that lies on the xy plane, then its length from x=a to x=b is given by…

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

A: