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

11th Standard

Reg.No. :
•
•
•
•
•
•

Maths

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

10 x 1 = 10
1.  Given that x, y and b are real numbers x<y, b>0, then

(a)

xb < yb

(b)

xb > yb

(c)

xb ≤ yb

(d)

$\frac { x }{ b } \ge \frac { y }{ b }$

2. If 3 is the logarithm of 343 then the base is

(a)

5

(b)

7

(c)

6

(d)

9

3. If a and b are the roots of the equation x2-kx+c = 0 then the distance between the points (a, 0) and (b, 0)

(a)

$\sqrt { { 4k }^{ 2 }-c }$

(b)

$\sqrt { { k }^{ 2 }-4c }$

(c)

$\sqrt { 4c-{ k }^{ 2 } }$

(d)

$\sqrt { k-8c }$

4. If  $\frac { 1-2x }{ 3+2x-{ x }^{ 2 } } =\frac { A }{ 3-x } +\frac { B }{ x+1 }$ ,then the value of A+B is

(a)

$\frac { -1 }{ 2 }$

(b)

$\frac { -2 }{ 3 }$

(c)

$\frac { 1 }{ 2 }$

(d)

$\frac { 2 }{ 3 }$

5. If -3x+17 < -13 then

(a)

x ∈ (10,∞)

(b)

x ∈ [10,∞)

(c)

x ∈ (-∞,10]

(d)

x ∈ [10,10)

6. The number of real solution of |2x-x2-3|=1 is

(a)

0

(b)

2

(c)

3

(d)

4

7. (x2-2x+2)(x2+2x+2) are the factors of the polynomial

(a)

(x2-2x)2

(b)

x4-4

(c)

x4+4

(d)

(x2-2x+2)2

8. If $\alpha$ and $\beta$ are the roots of 2x2+4x+5=0 the equation where roots are 2$\alpha$ and 2$\beta$ is:

(a)

4x2+ 4x + 5 = 0

(b)

2x2 + 4x + 50 = 0

(c)

x2+4x+5=0

(d)

x2+4x+10=0

9. The condition that the equation ax2 + bx + c = 0 may have one root is the double the other is:

(a)

2b2 = 9ac

(b)

b2= ac

(c)

b2 = 4ac

(d)

9b2 = 2ac

10. If P(x) = x3 + 3x2 + 2x + 1, then the remainder on dividing p(x) by (x - 1) is

(a)

7

(b)

0

(c)

6

(d)

1