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Math 10 Chapter 9 - Part B
1.
The relation free from 'x' for equations x | 1/ x= m and x
^{3}
| 1/x
^{3}
= 4n
^{3}
is __________.
a) 4n
^{3}
= m
^{3}
+ 4m
b) 4n
^{3}
= m
^{2}
+ 3m
c) 4n
^{3}
= m
^{3}
+ 3m
2.
The relation free from 'x' for equations x = 3p and x = 1/7t is __________.
a) 21 pt = 4
b) 21 pt = 2
c) 21 pt = 1
d) 21 pt = 3
3.
The relation free from 'y' for equation y
^{2}
| 1/y
^{2}
= a and y
^{4}
+ 1/y
^{4}
= b
^{4}
.
a) b
^{4}
| a
^{3}
= 2
b) b
^{3}
| a
^{2}
= 2
c) b
^{4}
| a
^{2}
= 2
4.
If x + y= 0 and x
^{2}
+ y
^{2}
= b
^{2}
, then the relation free from x is y
^{2}
= b
^{2}
a) False
b) True
5.
If x = at and y = 2at then the relation free from t is 2x = y
a) False
b) True
6.
For equations x + n= 6 and x + m = 3 the relation free from x is n | m = 3.
a) True
b) False
7.
One equation is required for elimination of one variable.
a) True
b) False
8.
The relation free from 'x' for equations 2x + 3y = 5 and x | y = 2 is 5y =1
a) True
b) False
9.
An independent relation of 'x' for equation nx
^{2}
-m=0 and px
^{2}
+ q = 0 is mp = qn
a) True
b) False
10.
If x-y = t and x
^{2}
+ y
^{2}
= t
^{2}
, then relation free from t is xy = 2
a) False
b) True
11.
If x/c + c/x = 2a and x/c | c/x = 3b, then relation free from x is 4a
^{2}
| 9b
^{2}
= 4
a) False
b) True
12.
The eliminant by eliminating 'x' for equation x | pq = 0 and x/n = m is pq+ nm = 0
a) False
b) True
13.
If x | 1/x = 3a and x
^{2}
+ 1/x
^{2}
= b
^{2}
then relation free from x is b
^{2}
| 9a
^{2}
= 2
a) False
b) True
14.
If x + 1/x = n and x
^{2}
+ 1/x
^{2}
= m
^{2}
then independent relation of x is n
^{2}
= m
^{2}
+ 2
a) True
b) False
15.
Independent relation of 't' for equations at = x and 2at = y is x = y
a) True
b) False
16.
If x + a = 0 and b/x = c then relation independent of x is b + ac = 0
a) False
b) True
17.
If x/a + a/x = 7 then x
^{2}
/a
^{2}
+ a
^{2}
/x
^{2}
= 49
a) False
b) True
18.
Eliminating t from x + t = 6 and y | t = 7 we get x + y = 1
a) False
b) True
19.
Elimination means to eliminate a certain variable
a) True
b) False
20.
After doing elimination process, the equation obtained is always quadratic .
a) False
b) True
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