Chapter 2, Question Paper

Welcome To

Class : XI

Subject : Maths

Chapter : 2

Question Paper

Mark : 50 Marks

      

Section - A

I . Choose The Correct Answer : (10×1=10)

1. The Value Of ⁴√(-2)⁴ = __________.

a) 2      b -2)      c) 4      d) -4

2. If |x-2|>5, then x belongs to

a) (-∞,-2]∪[5,∞)      b) (-∞,-3]∪[7,∞)

c) (-∞,-3]∪[7,∞)      d) (-∞,2]∪[5,∞)

3. For x≥2, |x-2| =

a) 2-x      b) 2+x      c) x-2      d) x

4. The Value Of log 1 is 

a) 1     b) 0      c) ∞      d) -1

5. If Quadratic With Real Coefficient has no real roots, then it's discriminant is ________.

a) 0      b) <0      c) >0      d) 1

6. If √(x+14)<2, then x belongs to

a) [-14,-10)      b) (-14,-10]

c) (-∞,-10]        d) [-14,-10)

7. Find Odd One Out Of The Following

a) x³+3x²+2x+1

b) (x²+2x+1)(x+4)

c) x²+5x+6

d) (x+2)(x+3)(x+4)

8. The Solution of 5x-1<24 and 5x+1>-24 is

a) (4,5)      b) (-5,-4)

c) (-5,5)     d) (-5,4)

9. The Number Of root of (x+3)⁴+(x+5)⁴=16 is

a) 4      b) 2      c)      3      d) 0

10. Tha Value Of log311.log1113.log1315.log1527.log2781 is 

a) 1     b) 2      c) 3      d) 4

Section - B

II . Answer Any Five Questions : (05×02=20)

1. Find The Domain And Range Of The Real Valued Function f(x) = (5-x)/(x-5) .

2. Solve The Equation √(6-4x-x²) = (x+4).

3. Find The Values Of P For Which The Difference Between The Roots Of The Equation x²+px+8=0 is 2.

4. Resolve into partial fraction 2/(x²-1).

5. Solve : (x-2)(x+3)²<0.

                          

6. Prove That : log42-log82+log62-.....is 1-loge2.

Section - C

III . Answer All The Questions : (5×3=15)

1. Solve : (|x|-1)/(|x|-3)≥0, x ∈ ℝ, x≠±3.

2. Resolve Into Partial fraction : x/(x+3)(x-4).

3. Given That log102 = 0.30103, log103 = 0.47712 (approximately), find the number of digits in 2⁸, 3¹².

4. Resolve Into Partial fraction : (10x+30)/(x²-9)(x+7).

5. Solve The Linear inequation 4-x≤3x +12.

Section - D

IV . Answer Any Three Question : (3×5= 10)

1. If x=1 is one root of the equation

x³-6x²+11x-6=0, find the other roots.

2. Solve : (2x+5)/(x-1)>5.

3. Solve : √(x+5)+√(x+21) = √(6x+40).

4. If (logex)/(b-c) = (logey)/(c-a) = (logeZ)/(a-b),

Show That        

(i) xyz =1 (ii) (x^a)(y^b)(z^c)= 1.

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