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AIEEE 2006 Mock Test

Medium 150 Questions 150 min 150 marks 1 attempts

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150 min · 150 marks · Full test mode with leaderboard

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Question No: 6Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

If (a \times b) \times c = a \times (b \times c), where a, b and c are any three vectors such that a \cdot b \neq = 0 and b \cdot c \neq = 0, then a and c are:

Question No: 7Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

Let W denote the words in the English dictionary. Define the relation R by R = {(x, y) \in W \times W ∣ the words x and y have at least one letter in common} . Then R is:

Question No: 8Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

If A and B are square matrices of size n \times n such that A^{2} - B^{2} = (A - B) (A + B), then which of the following will be always true?

Question No: 9Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

The value of \sum_{k = 1}^{10} (sin \frac{2 kπ}{11} + i cos \frac{2 kπ}{11}) is:

Question No: 10Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

All the values of m for which both roots of the equation x^{2} - 2 m x + m^{2} - 1 = 0 are greater than - 2 but less than 4, lie in the interval:

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