1 ) The graph of a quadratic function is always a
…………… ,
A ) Parabola ,
B ) Circle ,
C ) Ellipse , D
) None of these ,
Correct
Answer : - A ) Parabola ,
2 ) i.(j x k) = ……………. ,
A ) 0 , B ) 1 ,
C ) 90 , D ) None of these ,
Correct Answer : - B ) 1 ,
Solution : -
For dot product : -
i . i = 1 , j . j = 1 , k . k =1 .
Other than that , it will be equals to zero .
For cross product : -
i x j = k , j x k = i , k . i = j .
So ,
i . ( j x k ) = i . ( i ) = 1 , Answer .
3 ) Four roots of unity are : - (1,
-1, i, -i) .
4
) The sum of squares of two conjugate complex
no. is always a ………….. ,
A ) Real no. , B ) Complex no.
,
C ) Imaginary no.
, D ) None
of these ,
Correct
Answer : - A ) Real no. ,
5 ) Two excavators dig 10m2 of earth in
first day , 15m2 in 2nd day , 20m2 in third day. So what total
would be in 9th day?
A ) 261 , B ) 268 ,
C ) 271 , D ) None
of these ,
Correct
Answer : - A ) 261 ,
Solution:-
Given
Data : -
· a1 = 10 ,
· d = 5m2 .
Formula
: -
Sn =
(n\2){2a + (n-1)d } ,
Ø S9 = (9/2){ 2(9) + (9-1)5 } ,
Ø S9 = (9/2){ 18 + 40 } ,
Ø S9 = (9/2){ 58 } ,
Ø S9 = (9)(29) ,
Ø S9
= 261 , Answer.
6 ) If order of A is (m x n) and order of B is (n
x p). So order of AB?
A ) m x n , B
) m x p ,
C ) p x n , D ) None of these ,
Correct
Answer : - B ) m x p ,
7
) When two rows or two columns of a
matrix is equal , so its determinant [A] will be ………. ,
A ) Zero , B
) Finite ,
C ) Infinite , D
) None of these ,
Correct
Answer : - A ) Zero ,
Explanation
: -
When two rows or two columns of a matrix is equal , so
its determinant [A] will be zero and its inverse A-1 will be Infinite
.
8 ) When two sets are equal, so the result of
their intersection and union will be
…………. ,
A ) Same , B
) Different ,
C ) infinite , D
) None of these ,
Correct
Answer : - A ) Same ,
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