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#### Basic Algebra Book Back Questions

11th Standard

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
5 x 1 = 5
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 ${ log }_{ \sqrt { x } }$ 0.25 =4 ,then the value of x is

(a)

0.5

(b)

2.5

(c)

1.5

(d)

1.25

3. If a and b are the roots of the equation x2-kx+16=0 and a2+b2=32 then the value of k is

(a)

10

(b)

-8

(c)

-8,8

(d)

6

4. 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)

$\sqrt { k-8c }$

5. The value of log3 11.log11 13.log13 15log15 27.log27 81 is

(a)

1

(b)

2

(c)

3

(d)

4

6. 3 x 2 = 6
7. Evaluate $\left( \left[ (256)^{ \frac { -1 }{ 4 } } \right] ^{ \frac { -1 }{ 4 } } \right) ^{ 3 }$

8. Solve for x  $\left| 3-\frac { 3 }{ 4 } x \right| \le \frac { 1 }{ 4 }$

9. Factorize: x4+1

10. 3 x 3 = 9
11. If x=$\sqrt { 2 } +\sqrt { 3 }$  find $\frac { { x }^{ 2 }+1 }{ { x }^{ 2 }-1 }$

12. Determine the region in the plane determined by the inequalities.
$2x+3y\le 6,\quad x+4y\le 4,\quad x\ge 0,\quad y\ge 0.$

13. Solve the linear inequalities and exhibit the solution set graphically: x+y ≥ 3, 2x-y ≤ 5, -x+2y ≤ 3.

14. 2 x 5 = 10
15. Evaluate $\sqrt [ 3 ]{ {{{(45.4)}^{2}}\over{{(3.2)}^{2}}\times{(6.5)}^{2}} }$

16. Resolve into partial fractions $\frac { 9 }{ (x-1)(x+2)^{ 2 } }$