Question

the join of d(-4 0) and e (0 6) is divided by D (p,2) and E (-4/3,q)in three equal parts find the values of p and q

Answer 1

Step-by-step explanation:

(i) Distance between two points (x1, y1) and (x2, y2) is given as:

√{(x2 – x1)2 + (y2 – y1)2}

Therefore, the distance between two points (2, 3) and (4, 1) is

D = √{(4 – 2)2 + (1 - 3)2}

=> D = √{22 + (-2)2}

=> D = √{4 + 4}

=> D = √8

=> D = 2√2

(ii) Distance between two points (x1, y1) and (x2, y2) is given as:

√{(x2 – x1)2 + (y2 – y1)2}

Therefore, the distance between two points (2, 3) and (4, 1) is

D = √{(-1 + 5)2 + (3 - 7)2}

=> D = √{42 + (-4)2}

=> D = √{16 + 16}

=> D = √32

=> D = 4√2

(iii) Distance between two points (x1, y1) and (x2, y2) is given as:

√{(x2 – x1)2 + (y2 – y1)2}

Therefore, the distance between two points (2, 3) and (4, 1) is

D = √{(-a - a)2 + (-b - b)2}

=> D = √{(-2a)2 + (-2b)2}

=> D = √{4a2 + 4b2}

=> D = 2√(a2 + b2)