Coordinate geometry 1 questions | form five Pure Advanced Mathematics

(2732) Question Category: Mathematical Calculation

Show that C(7,-2) and D(1,6) are all equidistant from the line 3x-4y-4=0

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(4018) Question Category: Mathematical Calculation

Prove that Mleft ( frac{x_1+x_2}{2}, frac{y_1+y_2}{2} ight ) is the mid point of the line segment joining P_1(x_1,y_1) and P_2(x_2,y_2).

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(4123) Question Category: Mathematical Calculation

The end point coordinates of a line segment AB are A(x_{1},y_{1}) and B(x_{2},y_{2}). Prove that the coordinates of the point p(x,y) dividing the line segment AB internally in the ratio lambda :mu are given by

p(x,1)=left ( frac{mu x_1 lambda x_2}{mu + lambda}, frac{mu y_1 lambda y_2}{mu + lambda} ight ).

Answer / Solution

UNSOLVED

(4124) Question Category: Mathematical Calculation

Find the coordinates of a point dividing the line segment joining Q(-3,6) and R(6,0) internally in the ratio 2:1.

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(5348) Question Category: Mathematical Calculation

  1. The vertices of rectangle ABCD are given by points A(x_{1},y_{1}), B(x_{2},y_{2}), C(x_{3},y_{3}), and ,D(x_{4},y_{4}). derive the formula to calculate the area of the rectangle.
  2. Use the formula obtained in part (a) to find the area of the rectangle whose vertices are the points A(1,1), B(3,5), C(-2,4), and ,D(-1,-5).

Answer / Solution

UNSOLVED

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