Coordinate geometry 2 questions | form six Pure Advanced Mathematics

(6661) Question Category: Mathematical Calculation

Given the equation y+frac{x^{2}-10x+25}{12}-4=0

  1. Write the equation in the standard form of the parabola.
  2. Find the line of symmetry of the parabola in (i).
  3. Find the focus of the parabola in (i).

Answer / Solution

UNSOLVED

(6662) Question Category: Mathematical Calculation

Find the foci and the directrix of the ellipse 4x^{2}+16y^{2}=25. Hence, identify the major axis of the ellipse where the foci are located.

Answer / Solution

UNSOLVED

(6663) Question Category: Mathematical Calculation

Find the equation of the tangents to the curve frac{y}{x^{2}}=frac{-1}{8} that will pass through the point (1,1).

Answer / Solution

UNSOLVED

(6664) Question Category: Mathematical Calculation

Show that a curve defined by the parametric equations x=frac{2}{3}t+7 and y=5t-1 is a straight line.

Answer / Solution

UNSOLVED

(6665) Question Category: Mathematical Calculation

If y^{2}=16-(x-1)^{2} is an equation of a circle, verify whether its radius is cos heta pm sqrt{cos ^{2} heta +15} where heta is an angle made by the radius and the polar axis.

Answer / Solution

UNSOLVED

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