All India Engineering / Architecture Entrance Examination (AIEEE)
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AIEEE 2010 Mathematics
Q. 25. The line L given by
passes through the point 
. The line K is parallel to L and has
the equation
. Then the distance between L and K is
Sol :
As L is passing through 
Answer: (3)
Q. 26. Let S be a non-empty subset of R. Consider the following statement:
P : There is a rational number
such that 
.
Which of the following statements is the negation of the statement P?
- There is no rational number
such that 
. - Every rational number
satisfies 
. 
and 
is not rational.- There is a rational number
such that 
.
Sol : Answer: (2)
Q. 27. Consider the system of linear equations:
The system has.
- exactly 3 solutions
- a unique solution
- no solution
- infinite number of solutions
Sol :
Clearly (iii) and (iv) are parallel planes. No solution.
Answer: (3)
