1. भाग लेमा a= bq+r में q= 0 तब होगा जब-
(A) b<a (B) b = a (C) b> a (D) r =1
Answers
भाग लेमा a= bq+r में q= 0 तब होगा जब b > a.
Euclid Division Lemma states that for Two positive numbers, a > b
a = bq + r such that 0 ≤ r < b
But The question asks, When does q become 0.
Let's say b < a
By Euclid Lemma,
a = bq + r
a - r = bq
q = a - r / b
q ≠ 0.
Let's say, b = a
By Euclid Lemma,
a = bq + r
a = aq + r
r = 0
a = aq
q = 1,
q = 0
Let's say,
r = 1,
By Euclid Lemma,
a = bq + r
a = bq + 1
a - 1 = bq
q = a - 1 / b
q ≠ 0
Let's say,
b > a
By Euclid lemma,
a = bq + r
a - r / b = q
In this case q = 0.
Take two numbers such that, b > a
23 > 11
11 = 23q + r
q, r has to be non negative, so
Only possible way is q = 0, r = 11.
Therefore, भाग लेमा a= bq+r में q= 0 तब होगा जब b > a.
a = bq+r में q= 0 तब होगा जब- b > a
Step-by-step explanation:
a = bq+r में q= 0 तब होगा जब-
b > a
a = 5
b = 6
=> 5 = 6 * q + r
=> 5 = 6 * 0 + 5
=> 5 = 5
a = bq+r में q= 0 तब होगा जब- b > a
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