Coordinate geometry 2 questions | form six Pure Advanced Mathematics

(6651) Question Category: Mathematical Calculation

Sketch the graph of r=2(1+ sin t)

Answer / Solution

UNSOLVED

(6652) Question Category: Mathematical Calculation

Find the equation of the tangent to the ellipse 9x^{2}+25y^{2}-18x-100y-116=0 at (1,5).

Answer / Solution

UNSOLVED

(6653) Question Category: Mathematical Calculation

The normal at the point p(4 cos heta, 3 sin heta) on the ellipse frac{x^{2}}{16}+frac{y^{2}}{9}=1 meets the x-axis and y-axis at A and B respectively. Show that the locus of the midpoint of AB is an ellipse with the same eccentricity as the given ellipse.

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(6654) Question Category: Mathematical Calculation

  1. Determine the polar equation of x^{2}+y^{2}-2x-3y=0.
  2. Draw the graph of the polar equation obtained in part (i) above.

Answer / Solution

UNSOLVED

(6655) Question Category: Mathematical Calculation

  1. Show that the line 3x-y+1=0 touches the parabola y^{2}=12x.
  2. If ax_by+c=0 touches the parabola x^{2}-8y=0, find an equation connecting a, b and c.

Answer / Solution

UNSOLVED

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