Coordinate geometry 2 questions | form six Pure Advanced Mathematics

(4117) Question Category: Mathematical Calculation

  1. The ellipse has its foci at the points (-1,0) and (7,0) when its ecentricity is frac{1}{2}. Find its cartesian equation.
  2. Convert y^{2}=4a(a-x) into polar equation.
  3. Use the equation y=2x^{2}-6x+4 to determine its directrix and the focus.

Answer / Solution

UNSOLVED

(4118) Question Category: Mathematical Calculation

A cable used to support a swinging bridge approximates the shape of a parabola. Determine the equation of a parabola if the length of the bridge is 100m and the vertical distance from where the cable is  attached to the bridge to the lowest point of the cable is 20m.

Answer / Solution

UNSOLVED

(4119) Question Category: Mathematical Calculation

  1. Define the term hyperbola
  2. Show that the latus rectum of the equation frac{(x-h)^{2}}{a^{2}}-frac{(y-k)^{2}}{b^{2}}=1  is frac{2b^{2}}{a}

Answer / Solution

UNSOLVED

(5345) Question Category: Mathematical Calculation

(i) Mention any two properties of f(x)=b^{x}

(ii) Draw the graph of f(x)=left ( frac{1}{2} ight ) for -3leq xleq 3.

 

Answer / Solution

UNSOLVED

(5346) Question Category: Mathematical Calculation

Given that y=frac{x^{2}-2x-3}{x^{2}-4}

(i)Find the vertical and horizontal asymptotes.

(ii) Sketch the graph of y.

Answer / Solution

UNSOLVED

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