Mathematics - Online Test
Q1. General solution of ( -2 < y < 2) is
Answer : Option B
Explaination / Solution:
Q2. A point ( x , y , z ) moves parallel to XY - plane . Which of the three variables x , y , z remain fixed ?
Answer : Option B
Explaination / Solution:
A point ( x , y , z ) moves parallel to XY - plane then x and y -coordinate will vary and z will fixed
Q3. If, then for all natural numbers n, is equal to
Answer : Option D
Explaination / Solution:
Q4. If , then
Answer : Option A
Explaination / Solution:
which is purely imaginary number.
Also when y=0, the number will become zero
Q5. The Collection of intelligent students in a class is
Answer : Option C
Explaination / Solution:
Intelligency Can not measured by numbers i.e the collection is not well defined thats why it can not be called as a Set
Q6. is
Answer : Option A
Explaination / Solution:
Q7. Let g (x) be continuous in a neighbourhood of ‘a’ and g (a) ≠ 0. Let f be a function such that f ‘ (x) = g(x) then
Answer : Option A
Explaination / Solution:
Since g is continuous at a , therefore , if g ( a ) > 0 , then there is a neighbourhood of a, say ( a-e , a+ e ) in which g ( x ) is positive .This means that f ‘ (x)>0 in this nhd of a and hence f ( x ) is increasing at a.
Q8. The area bounded by the curves = x andy = is
Answer : Option A
Explaination / Solution:
The two curves meet in ( 0 , 0 ) and ( 1, 1 ).The required area lies above the curve y = x2 and below x = y2 and is equal to ;
Q9. The solution for the simultaneous linear inequalities 2x − 3 ≤ 7 and − x ≤ 2 is :
Answer : Option C
Explaination / Solution:
Therefore the solution of the simultaneous linear equalities is
Q10. is equal to
Answer : Option B
Explaination / Solution:
