Class 12th Application of Derivatives

posted by .

Find a point on the parabola y = (x-4)^2, where the tangent is parallel to the chord joining (4,0) and (5,1). Solve this question using Lagrange's theorem.

Answer is (9/2,1/4)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus - Maths

    I got a few questions. Hope ya'll can help out. 1) for F(X) = 6x - 2x^2 Find the gradient of the chord joining the point where the X coorinates are 1 and (1+h) respectively. b) hence find the gradient at x=1 2) Find the Coordinates …
  2. Calculus Derivatives

    what's the equations of both lines through the point (2,3) that are tangent to the parabola y=x^2+x
  3. 12th Calculus

    f(x)= x, 0<and equal to x<1 = 0, x=1 is zero at x=0 and at x=1. it derivative is equal to 1 at every point between 0 and 1, so f' is never zero between 0 and 1, and the graph of f has no tangent parallel to the chord from (0,0) …
  4. math

    The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at point P and the parabola y=4x^(2)+4x+5 at point Q. a. If a line tangent to the cubic at point P is parallel to the line tangent to the parabola at point Q, find the …
  5. calculus

    The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at point P and the parabola y=4x^(2)+4x+5 at point Q. a. If a line tangent to the cubic at point P is parallel to the line tangent to the parabola at point Q, find the …
  6. math

    find whether the line 2x-y=0 is tangent, real chord on imaginary chord to the parabola y^2-2y+4y=0.
  7. Calculus-derivatives

    Verify these answers~ 1. For what value(s) of x does f(x)=(x^2-16)^5 have a horizontal tangent?
  8. Math

    If f(x)=3x^2-5x, find the f'(2) & use it to find an equation of tangent line to the parabola y=3x^2-5x at the point (2,2). My ans is f'(2)=7 & y=7x-12. What is parabola exactly?
  9. Calculus

    Draw a diagram to show that there are two tangent lines to the parabola y=x^2 that pass through the point (0,-4). Find the coordinates of the points where these tangent lines intersect the parabola. So far I have taken the derivative …
  10. Math (Calculus) (mean value theorem emergency)

    Consider the graph of the function f(x)=x^2-x-12 a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I got the equation of the secant line to be y=x-4 b) Use the Mean Value Theorem to determine a point c in …

More Similar Questions