#### 11th Standard Maths Basic Algebra English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

Reg.No. :
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Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. If |x+2| $\le$ 9, then x belongs to

(a)

$(-\infty ,-7)$

(b)

[-11, 7]

(c)

$(-\infty ,-7)\cup (11,\infty)$

(d)

(-11, 7)

2. The value of loga b logb c logc a is

(a)

2

(b)

1

(c)

3

(d)

4

3. Find a so that the sum and product of the roots of the equation 2x2+(a-3)x+3a-5 = 0 are equal is

(a)

1

(b)

2

(c)

0

(d)

4

4. If 8 and 2 are the roots of x2+ax+c=0 and 3,3 are the roots of x2+dx+b=0;then the roots of the equation x2+ax+b = 0 are

(a)

1,2

(b)

-1,1

(c)

9,1

(d)

-1,2

5. If  $\frac { kx }{ (x+2)(x-1) } =\frac { 2 }{ x+2 } +\frac { 1 }{ x-2 }$ ,then the value of k is

(a)

1

(b)

2

(c)

3

(d)

4

6. If x is a real number and |x| < 5 then

(a)

x ≥ 5

(b)

-5 < x < 5

(c)

x ≤ -5

(d)

-5 ≤ x ≤ 5

7. $\sqrt [ 4 ]{ 11 }$ is equal to

(a)

$\sqrt [ 8 ]{ 11^{ 2 } }$

(b)

$\sqrt [ 8 ]{ 11^{ 4 } }$

(c)

$\sqrt [ 8 ]{ 11^{ 8 } }$

(d)

$\sqrt [ 8 ]{ 11^{ 6 } }$

8. If x is real and k = $\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 }$ then

(a)

$k\epsilon \left[ \frac { 1 }{ 3 } ,3 \right]$

(b)

k ≥ 3

(c)

$k\le \frac { 1 }{ 3 }$

(d)

none of these

9. The value of log108+log105-log10=

(a)

${ log }_{ 10 }^{ 9 }$

(b)

${ log }_{ 10 }^{ 36 }$

(c)

1

(d)

-1

10. The factors of the polynomial $6\sqrt { { 3x }^{ 2 } } -47x+5\sqrt { 3 }$ are

(a)

$(2x-5\sqrt { 3 } )(3\sqrt { 3 } x-1)$

(b)

$(2x-5\sqrt { 3 } )(3\sqrt { 3 } x+1)$

(c)

$(2x+5\sqrt { 3 } )(3\sqrt { 3 } x+1)$

(d)

$(2x+5\sqrt { 3 } )(3\sqrt { 3 } x-1)$