Free Online Practice mock Test 2 for GATE Mathematics. GATE syllabus and Previous Year Question Papers with Answers Free Download.

1. The possible set of eigen values of a 4*4 skew-symmetric orthogonal real matrix is
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2. The coefficient of (z − π)^{2} in the Taylor series expansion of

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around π is

3. Consider ℝ2 with the usual topology. Which of the following statements are TRUE for all A,B ⊆ ℝ2?

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4. Let f:ℝ →ℝ be a continuous function with f(1)=5 and f(3)=11. If g(x) = then g′(0) is equal to ______
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5. Let P be a 2*2 complex matrix such that trace(P) = 1 and det(P)=−6. Then, trace (P^{4} - P^{3}) is ______
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