Observe The Following Statement Asserion A F X 2x 3 9x 2 12x
1) Both A and R are correct and R is the correct reason for A 2) Both A and R... View Article
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If F X X 2 2x 4 On 1 5 Then The Value Of A Constant C Such That
1) 0 2) 1 3) 2 4) 3 Solution: (4) 3 f (x) = x2 – 2x + 4 f’... View Article
If F Be Continuous On 1 5 And Differentiable 1 5 If F 1 3
1) f(5) ≥ 33 2) f(5) ≥ 36 3) f(5) ≤ 36 4) f(5) ≥ 9 5) f(5) ≤ 9... View Article
The Function F X X 3 3 X X 0 Decreases In The Interval
1) (- ∞ , 3) 2) (-3, 3) 3) (3, ∞) 4) (-9, 9) Solution: (2) decreasing f (x) =... View Article
The Function F X Cot 1 X X Increases In The Interval
1) (1, ∞) 2) (-1, ∞) 3) (-∞, ∞) 4) (0, ∞) Solution: (3) (-∞, ∞) f (x) = cot-1... View Article
A Function F Is Defined By F X 2 X 2 3 In 0 2 Which Of The Following
1) f is not derivable in (0, 2) 2) f is continuous in [0, 2] 3) f (0) = f... View Article
The Function F Defined By F X 4x 4 2x 1 In Increasing For
1) x < 1 2) x > 0 3) x < 1/2 4) x > 1/2 Solution: (4) x >... View Article
Define F X Integral From 0 To X Sin T Dt X 0 Then
1) f is increasing only in the interval (0, π / 2) 2) f is decreasing in the interval (0,... View Article
If F X Root X 1 X 24 10 X 1 1 X 26 Be Real Valued Function
1) 0 2) 1 / √x – 1 3) 2√x – 1 – 5 4) None of these Solution: (1)... View Article
If F X Sin X E X In 0 Pi Then F X
1) Satisfies Rolle’s theorem and c = π / 4, so that f’ (π / 4) = 4 2) does... View Article
The Function F X 1 X 3
1) increases everwhere 2) decreases in (0, ∞) 3) increases in (0, ∞) 4) None of the above Solution: (2)... View Article
The Function F X Log 1 X 2x 2 X Is Increasing On
1) (1, ∞) 2) (-∞, 0) 3) (-∞, ∞) 4) None of these Solution: (1) (1, ∞) f (x) =... View Article
The Value Of B For Which Function F X Sin X Bx C Is Decreasing
1) b < 1 2) b ≥ 1 3) b > 1 4) b ≤ 1 Solution: f (x) =... View Article
In The Interval 0 1 The Function X 2 X 1 Is
1) increasing 2) decreasing 3) neither increasing nor decreasing 4) do not say anything Solution: (3) neither increasing nor decreasing... View Article
If 2a 3b 6c 0 Then At Least One Root Of The Equation Ax 2 Bx C 0
1) (0, 1) 2) (1, 2) 3) (2, 3) 4) (1, 3) Solution: (1) (0, 1) f (x) = ax2... View Article
If F X Kx Sin X In Monotonically Increasing Then
1) k > 1 2) k > – 1 3) k < 1 4) k < – 1 Solution: (1)... View Article
The Function F X Tan 1 Sin X Cos X Is An Increasing Function In
1) (π / 4, π / 2) 2) (- π / 2, π / 4) 3) (0, π / 2)... View Article
A Value Of C For Which The Conclusion Of Mean Value Theorem Holds
1) 2 log3 e 2) 1/2 loge 3 3) log3 e 4) loge 3 Solution: (1) 2 log3 e By... View Article
The Function F X X 2 E X Increases In The Interval
1) (0, 2) 2) (2, 3) 3) (3, 4) 4) (4, 5) Solution: (1) (0, 2) f (x) = x2... View Article
The Function F X 2x 3 3x 2 12x 1 Decreases In The Interval
1) (2, 3) 2) (1, 2) 3) (- 2, 1) 4) (-3, -2) Solution: (3) (- 2, 1) f (x)... View Article
