The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally lies in the
a) I quadrant
b) II quadrant
c) III quadrant
d) IV quadrant
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The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally lies in the IV quadrant
Step-by-step explanation:
The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally is A (x , y)
then A (x , y) = (1 * 2 + 2 * 8)/(1 + 2) , (1 * 3 + 2 * (-9))/(1 + 2)
=> A(x , y) = 18/3 , -15/3
=> A(x , y) = 6 , -5
Point which divides the the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally is (6 , -5)
Quadrant I - x & y both + ve
Quadrant II - x - ve , y +ve
Quadrant III x & y both - ve
Quadrant IV x + ve , y - ve
=> (6 , -5) lies in Quadrant IV
Hence point lies in IV quadrant
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