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Brainiak
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What is the general solution of sin^2 x+ sin^2 2x=sin^2 3x?
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Jul 5
in
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
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Brainiak
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The least value of |z| where z is complex number which satisfies the inequality
complex-number-jee-2021-pyq
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Jul 5
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COMPLEX NUMBERS AND QUADRATIC EQUATIONS
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Brainiak
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The area of the triangle with vertices A(z), B(iz) and C (z + iz) is :
complex-number-jee-2021-pyq
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Jul 5
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COMPLEX NUMBERS AND QUADRATIC EQUATIONS
by
Brainiak
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11.4k
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Let S1, S2 and S3 be three sets defined as S1 = {z ∈ C : |z - 1| ≤ √2}
complex-number-jee-2021-pyq
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Jul 5
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COMPLEX NUMBERS AND QUADRATIC EQUATIONS
by
Brainiak
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11.4k
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If the equation a|z|^2 + bar (bar α z + α bar z) + d = 0 represents a circle
complex-number-jee-2021-pyq
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asked
Jul 5
in
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
by
Brainiak
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(
11.4k
points)
Let a complex number be w = 1 – √3i . Let another complex number z be such that |zw| = 1 and arg(z) – arg(w)
complex-number-jee-2021-pyq
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41
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1
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Jul 5
in
MATHEMATICAL REASONING
by
Brainiak
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11.4k
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The statement among the following that is a tautology is : (1) A ∧ (A ∧ B) (2) A ∧(A ∧ B) (3) B → [A ∧(A → B)] (4) [A ∧ (A → B)] → B
mathematical-reasoning-jee-2021
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Jul 5
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MATHEMATICAL REASONING
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Brainiak
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11.4k
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The negation of the statement ∼p∧(p∨q) is : A ) p∨∼q B) ∼p∨q C) ∼ p ∧ q D) p ∧ ∼ q
mathematical-reasoning-jee-2021
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Jul 5
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MATHEMATICAL REASONING
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Brainiak
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11.4k
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The statement A → (B → A) is equivalent to : (1) A → (A ∧ B) (2) A →(A → B) (3) A →
mathematical-reasoning-jee-2021
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1
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Jul 5
in
MATHEMATICAL REASONING
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Brainiak
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11.4k
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The contrapositive of the statement "If you will work, you will earn money" is : (1) You will earn money,
mathematical-reasoning-jee-2021
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27
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1
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asked
Jul 5
in
MATHEMATICAL REASONING
by
Brainiak
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11.4k
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Let F1(A,B,C) = (A∧~B) ∨ [~C ∧ (A ∨ B)] ∨~A and F2(A, B) = (A ∨ B) ∨ (B →~A) be two logical expressions.
mathematical-reasoning-jee-2021
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1
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asked
Jul 5
in
MATHEMATICAL REASONING
by
Brainiak
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11.4k
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Which of the following Boolean expression is a tautology? (1) (p ∧ q) ∨ (p ∨ q)
mathematical-reasoning-jee-2021
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1
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asked
Jul 4
in
MATHEMATICAL REASONING
by
Brainiak
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(
11.4k
points)
If the Boolean expression (p ⇒ q) ⇔ (q * ( ∼ q) is a tautology, then the boolean expression p * ( ∼ q) is equivalent to :
mathematical-reasoning-jee-2021
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152
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1
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asked
Jul 4
in
MATHEMATICAL REASONING
by
Brainiak
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11.4k
points)
If the Boolean expression ( p ∧ q ) ⊙ ( p ⊗ q ) is a tautology, then ⊙ and ⊗ are respectively given by :
mathematical-reasoning-jee-2021
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63
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1
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asked
Jul 4
in
MATHEMATICAL REASONING
by
Brainiak
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11.4k
points)
If P and Q are two statements, then which of the following compound statement is a tautology ?
mathematical-reasoning-jee-2021
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31
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asked
Jul 3
in
SETS, RELATIONS AND FUNCTIONS
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Brainiak
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11.4k
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Let Z be the set of integers. If A = {x ∈ Z : 2(x +2)(x^2 - 5x + 6) = 1} and B {x ∈ Z : -3 < 2x - 1 < 9},
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Jul 3
in
SETS, RELATIONS AND FUNCTIONS
by
Brainiak
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11.4k
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Let S = {1, 2, 3, ... , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :
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Jul 3
in
SETS, RELATIONS AND FUNCTIONS
by
Brainiak
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11.4k
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Let X = {n ∈ N : 1 ≤ n ≤ 50}. If A = {n ∈ X : n is multiple of 2} and B = {n ∈ X : n is a multiple of 7},
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Jul 3
in
SETS, RELATIONS AND FUNCTIONS
by
Brainiak
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11.4k
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Let Ui = 1 Xi for i ∈ 50 = Ui = 1 for i ∈ n Yi = T, where each Xi contains 10 elements and each Yi contains 5 elements.
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157
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1
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Jul 3
in
SETS, RELATIONS AND FUNCTIONS
by
Brainiak
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(
11.4k
points)
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea.
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