Question

यदि a=bq+r, जहाँ और b धनात्मक पूर्णांक हों, तो-
(a)r>b
(b)r<0
(c)r<b
(d) इनमें से कोई नहीं
सन
PRON​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If a = bq + r and b is an integer then

(a) r > b

(b) r < 0

(c) r < b

(d) None of these

EVALUATION

In the context of the given problem division algorithm states that

Let f(x) & g(x) be two polynomials of degree n and m respectively and $\sf{n \geqslant m}$ . Then there exists two uniquely determined polynomials q(x) & r(x) satisfying

f(x) = g(x) q(x) + r(x)

Where the degree of q(x) is n - m and r(x) is either a zero polynomial or the degree of r(x) is less than m

From above it is clear that r < b

FINAL ANSWER

The correct option is r < b

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