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JEE Main || Algebra || Super Quiz 7
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Question 1
The contrapositive of the statement
“If it is raining, then I will not come”, is:
“If it is raining, then I will not come”, is:
Question 2
For an integer 
let 
. Which of the following is true for all 
?
let . Which of the following is true for all ?Question 3
If A and B are two mutually exclusive events, then:
Question 4
The number of 3 × 3 non–singular matrices, with four entries as 1 and all other entries as 0, is
Question 5
Directions: Assertion–Reason type questions. Each of these questions contains two statements: statement–1 (Assertion) and Statement–2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.
Let A be a 2 × 2 matrix with real entries. let I be the 2 × 2 identity matrix. Denote by tr(A), the sum of diagonal entries of A. Assume that A2 = I.
Statement–1: If A ≠ I and A ≠ – I, then det A = –1
Statement–2: If A ≠ I and A ≠ –I, then tr(A) ≠ 0.
Statement–1: If A ≠ I and A ≠ – I, then det A = –1
Statement–2: If A ≠ I and A ≠ –I, then tr(A) ≠ 0.
Question 6
If a2 + b2 + c2 = -2 and f(x) = 
then f(x) is a polynomial of degree
then f(x) is a polynomial of degree Question 7
If A = 
and A2 = 
, then
and A2 = , then Question 8
If z satisfies the equation |z| - z = 1 + 2i, then z is equal to
Question 9
Let z1 and z2 be two roots of the equation z2 + az + b = 0, z being complex. Further, assume that the origin, z1 and z2 form an equilateral triangle, then
Question 10
The shaded region in the figure is the solution set of the inequations
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Feb 10JEE & BITSAT
