Coordinate geometry 2 questions | form six Pure Advanced Mathematics

(6636) Question Category: Mathematical Calculation

Find the perpendicular distance of a point (10,10) from the tangent to the curve 4x^{2}+9y^{2}=25 at (-18,1).

Answer / Solution

UNSOLVED

(6637) Question Category: Mathematical Calculation

Show that the equation 16x^{2}+25y^{2}-64x+150y-111=0 is an equation of ellipse.

Answer / Solution

UNSOLVED

(6638) Question Category: Mathematical Calculation

  1. Show that y=mx+c is a tangent to the hyperbola frac{x^2}{a^{2}}-frac{y^{2}}{b^{2}}=1 when c^{2}=a^{2}m^{2}-b^{2}.
  2. Determine the equation of a tangent line to hyperbola 5x^{2}-4y^{2}=1 if the slope of the tangent line is -2.

Answer / Solution

UNSOLVED

(6639) Question Category: Mathematical Calculation

  1. Transform the equation x^{2}+y^{2}+4x=2sqrt{x^{2}+y^{2}} into a polar equation.
  2. Draw the graph of the polar equation obtained in (i) above in the interval 0leq heta leq2pi

Answer / Solution

UNSOLVED

(6640) Question Category: Mathematical Calculation

Show that the point B(5,-5) lies on the parabola y^{2}=5x and find the equation of the normal to the parabola at the point B in the form y=mx+c.

Answer / Solution

UNSOLVED

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