Mathematics - Online Test

Q1. The inequality | z − 6 | < | z − 2 | represents the region given by
Answer : Option A
Explaination / Solution:



Q2. If  is non real cube root of unity , then  
Answer : Option B
Explaination / Solution:

expanding along R

 

 


Q3. On a multiple-choice exam with 3 possible destructives for each of the 5 questions, the probability that a student will get 4 or more correct answers just by guessing is
Answer : Option A
Explaination / Solution:



Q4. The values of a and b if 4x 4 − 24x 3 + 76x 2 + ax +b is a perfect square are
Answer : Option C
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Q5. The coefficients of  and  ( p, q are + ve integers) in the binomial expansion of  are
Answer : Option B
Explaination / Solution:



Q6. The equation of the line with slope 2 and the length of the perpendicular from the origin equal to √5 is
Answer : Option C
Explaination / Solution:


Q7. The area of quadrilateral formed with foci of the hyperbolas  is
Answer : Option B
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Q8.

In the given  figure,  PR = 26 cm,  QR = 24  cm. PAQ = 90° , PA=6 cm and QA = 8 cm. Find PQR


Answer : Option D
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Q9. If   are three non-coplanar vectors such that , then the angle between  and  is
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. The equation of a line passing through the origin and perpendicular to the line 7x − 3y + 4 = 0 is
Answer : Option C
Explaination / Solution: