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Math 10 Chapter 9 - Part A
1.
By the eliminations of one or more than one variables from the given simultaneous equations, we get such a relation which is __________ of that variable.
a) Transverse
b) Transpose
c) Inverse
d) Independent
2.
At least ________ equations are required for elimination of one variable.
a) Two
b) Three
c) One
d) Six
3.
In elimination, both equations should have the ________ that has to eliminate
a) Variable
b) Entries
c) Constants
d) Elements
4.
Eliminant or relation shows that the solution set of both equations is not _________.
a) Possible
b) Filled
c) Empty
d) Complete
5.
The relation free from x for x-b = 0 and x-d = 0 is ___________.
a) c=d
b) b = d
c) d=a
d) a=c
6.
The relation free from x for xt = s and x/ m = t is ___________.
a) s =mt
^{3}
b) s =mt
^{4}
c) s =mt
^{2}
7.
The relation free from t for at = x and 2at = y is ______________.
a) 2x = y
b) 2x-y
c) y=x/2
8.
The relation independent of 'x' for equations x + 1/x = a and x
^{2}
+ 1/x
^{2}
= b
^{2}
is ________.
a) a
^{2}
| b
^{2}
= 2
b) a
^{3}
| b
^{2}
= 2
c) a
^{2}
| b
^{3}
= 2
9.
Te relation independent of 'x' for equations x + 1/x = m and x
^{3}
+ 1/x
^{3}
3= n is __________.
a) n = m
^{2}
| 3m
b) n = m
^{3}
| 2m
c) n = m
^{3}
| 3m
10.
The relation free from 't' for equations x + t = 3p and x | t = 4q is ____________.
a) 2x = 3p + 4q
b) 2x = 3q + 4q
c) 2p = 3p + 4q
d) 2x = 3q + 4p
11.
The eliminant by eliminating 'm' for equations m + bc = x and m | ad = y is _______.
a) x | y = bb+ ac
b) x | y = bc + cd
c) x | y = bb + bd
d) x | y = bc + ad
12.
The eliminant by elimination y for equations y
^{2}
= s and y
^{3}
= r is ____________.
a) s
^{3}
= r
^{2}
b) s
^{2}
= r
^{2}
c) s
^{3}
= r
^{3}
13.
The relation free from y for equation y = 1/2m and y = 4n is ____________.
a) 8mn =1
b) 8mn =1
c) 8mn =1
d) 8mn =1
14.
The equation y + 4 = 9 is y | 5 =6 are not true for a __________ value of y.
a) Unique
b) Temporary
c) Constant
d) Permanent
15.
A relation independent of 't' from equations t
^{5}
= d and t
^{3}
= b is ___________.
a) d
^{3}
= b
^{4}
b) d
^{3}
= b
^{5}
c) d
^{2}
= b
^{5}
16.
A relation independent of 'x' from equations xM
^{3}
| b = 0 and x
^{2}
+ d = 0 is ________.
a) b
^{2}
+ d
^{3}
= 0
b) b
^{3}
+ d
^{3}
= 0
c) b
^{2}
+ d
^{5}
= 0
17.
The relation free from x for equations x
^{2}
+ 1/x
^{2}
= 3m
^{2}
and x
^{4}
+ 1/ x
^{4}
= n
^{4}
is __________.
a) 9m
^{3}
| n
^{4}
= 2
b) 9m
^{4}
| n
^{7}
= 2
c) 9m
^{4}
| n
^{4}
= 2
18.
The relation free from ' x' for equations x + a = 0 and x
^{2}
+ y
^{2}
= b
^{2}
is _________.
a) y
^{2}
= b
^{3}
| a
^{2}
b) y
^{2}
= b
^{2}
| a
^{3}
c) y
^{2}
= b
^{2}
| a
^{2}
19.
The eliminant by elimination 'u' for equations v = u | t and u
^{2}
= 2vt.
a) V
^{4}
+ t
^{2}
= O
b) V
^{2}
+ t
^{4}
= O
c) V
^{2}
+ t
= O
20.
The eliminant by eliminating 'y' for equations y
^{3}
+ 1/y
^{3}
= m and y
^{3}
| 1/y
^{3}
= n is _______.
a) m
^{2}
| n
^{2}
= 4
b) m
^{2}
| n
^{2}
= 6
c) m
^{2}
| n
^{2}
= 8
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