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Q.

Consider the following statements 
(A) If speed i.e.,dxdt is decreasing, then velocity i.e.,v =dxdt and acceleration i.e.,a=dt must have opposite sign.
(B) If modulus of a variable is decreasing, the variable and its derivative must have opposite sign.
Select the correct options

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a

Both (A) and (B) are true

b

(A) is true but (B) is false

c

(A) is false but (B) is true

d

Both (A) and (B) are false

answer is A.

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Detailed Solution

dvdt<0  dv2dt<0  v·dvdt<0

Hence both statements are correct.

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