The midpoint of A 0,0 and B 1024 , 2048 is A 1 , midpoint of A 1 and B is A 2 , midpoint of A 2 and B is A 3 and so on. The coordinates of A 10 are

Question

The midpoint of A 0,0 and B 1024 , 2048 is A 1 , midpoint of A 1 and B is A 2 , midpoint of A 2 and B is A 3 and so on. The coordinates of A 10 are, 1025 , 2050, 1022 , 2044, 1023 , 2046, None of these

MARKS App · Accepted Answer

A 1 B = A B 2 , A 2 B = A B 4 A 3 B = A B 8 , . . . . . . . . , A 10 B = A B 2 10 = A B 1024 ⇒ A A 10 = A B - A B 1024 = 1023 A B 1024 ⇒ A 10 divides the line joining A and B internally in the ratio 1023 : 1 ⇒ A 10 = 0 × 1 + 1024 × 1023 1023 + 1 , 0 × 1 + 2048 × 1023 1023 + 1 = 1023 , 2046

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