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RD Sharma - Volume 1

18. Maxima and Minima

Exercise 18.1

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Exercise 18.2

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Exercise 18.3

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 1 J 1 K 1 L 2 A 2 B 2 C 3 4 5 6 7 8

Exercise 18.4

1 A 1 B 1 C 1 D 2 3 4 5

Exercise 18.5

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MCQ

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Very short answer

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Q. 65.0( 1 Vote )

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by

(i) (ii)

Find the point at which M is maximum in each case.

Class 12th RD Sharma - Volume 1 18. Maxima and Minima

Answer :

Condition for maxima and minima is

And for M to maximum < 0.

(i)

<0

Hence, for , M will be maximum.

(ii)

= 0

So,

For

(condition for maximum value)

For

(condition for minimum value)

Therefore, for , M will have maximum value.

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