Mathematics - Online Test

Q1. If then cot B + cot C - cot A =
Answer : Option C
Explaination / Solution:



Q2. If f (x) = x / x+1 , then its differential is given by
Answer : Option B
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Q3.
Answer : Option C
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Q4. The area of the region between the curve y = 4 –  and the x –axis is equal to
Answer : Option B
Explaination / Solution:

 y =   And  
Required area:
 =  =

Q5. The equation xy = 0 in three dimensional space represents
Answer : Option B
Explaination / Solution:

since xy=0 implies x=0 or y=0.i.e YZ plane or XZ plane.Hence it represents a pair of planes at right angles

Q6. A square matrix A is called idempotent if
Answer : Option C
Explaination / Solution:

If the product of any square matrix with itself is the matrix itself , then the matrix is called Idempotent.

Q7. ∫ 23 x+5 dx is
Answer : Option D
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Q8. If | z1 | = 1, | z2 | = 2, | z3 | = 3 and | 9z1 z2 + 4z1 z3 + z2 z3 | = 12 , then the value of | z1 + z2 + z3 | is
Answer : Option B
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Q9. If  = 90 then n is
Answer : Option D
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Q10. The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is
Answer : Option C
Explaination / Solution: