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Statement -1: sin 1 lt sin 2 lt sin3 S...

Statement -1: `sin 1 lt sin 2 lt sin3`
Statement-2: `sin3 lt sin2 lt sin1`
Statement-3: `sinx_(1) lt sinx_(2), x_(1) , x_(2) in (0,pi/2)`

A

TFT

B

FTT

C

FTF

D

TFF

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Statement-2 f(x)=(sin x)/(x) lt 1 for lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)

    A
    Statement-1 True statement -1 is True,Statement -2 is True statement -2 is a correct explanation for Statement-4
    B
    Statement-1 True statement -1 is True,Statement -2 is True statement -2 is not a correct explanation for Statement-4
    C
    Statement-1 True statement -1 is True,Statement -2 is False
    D
    Statement-1 is False ,Statement -2 is True

  • If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi , then sin theta =

    A
    `sqrt(2)//3`
    B
    `sqrt(3)//sqrt(5)`
    C
    `sqrt(15)//4`
    D
    `sqrt(2)//sqrt(5)`

  • Statement-1: cos theta= x+1/x is possible for some real value of x . Statement:2: sin1^(@) lt sin 1 . Statement-3: The minimum value of 5cos x-12 sinx +13 is 0

    A
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    B
    FTT
    C
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    D
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