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The Set A X X R X 2 16 And 2x 6 Is Equal To

Solution: (1) Given: A = { x : x ∈ R, x2 = 16 and 2x = 6 } x2 = 16 x = ± 4 2x = 6 x = 3 No value of x is satisfied. ... View Article

If P Theta Sin Theta Cos Theta Root 2 Cos Theta And Q Theta Sin Theta Cos Theta Root 2 Sin Theta Are Two Sets Then

If P = {θ : sinθ - cosθ = √2 cosθ} and Q = {θ : sinθ + cosθ = √2 sinθ} are two sets.... View Article

If A 4 N 3n 1 N N And B 9 N 1 N N Then

If A = { 4^n - 3n -1: n ∈ N } and B = { 9 (n -1) :n ∈ N }, then (1) B ⊂ A (2) A ∪ B = N (3) A ⊂ B (4) None of these... View Article

Out Of 64 Students The Number Of Students Taking Mathematics Is 45 And The Number Of Students Taking Both Mathematics And Biology Is 10

Solution: (2) Let M denote the number of students who take Mathematics and B denote the number of students who take Biology. n (M) = 45, n (M... View Article

There Are 100 Students In A Class

Solution: (3) Let M denote the number of students failed in Mathematics, P denote the number of students failed in Physics and B denote the... View Article

If A X Y Y E X And B X Y Y X Then

If A = {(x,y) : y = e^-x} and B = {(x,y) : y = -x}. Then, (1) A ∩ B = ϕ (2) A ⊂ B (3) B ⊂ A (4) A ∩ B = {(0,1),(0,0)} Solution:... View Article

If X N Z X Iy Z 2 1 N For All Integers N 1 Then N 1 X N Is

If Xn = {z = x + iy: |z|2 ≤ (1 / n)} for all integers n ≥ 1. Then ..., ∩n=1∞ Xn is (1) a singleton set (2) not a finite... View Article

If The Number Of Elements Of The Sets A And B Is P And Q Respectively Then The Number Of Relations From The Set A To The Set B Is

Solution: (2) Let the number of elements in set A be p and number of elements in set B be q. The number of relations from the set A to... View Article

There Is A Group Of 265 Persons Who Like Either Singing Or Dancing Or Painting

Solution: (1) Let the number of people who like singing be n (S) = 200, who like dancing is n (D) = 110, number of people who like painting = n... View Article

The Number Of Students Who Take Both The Subjects Mathematics And Chemistry Is 30

Solution: (1) Let the number of students who prefer mathematics be x and chemistry be y. Given: (10 / 100) x = (12 / 100) y = 30 0.1x = 0.12y... View Article

The Set A X 2x 3 7 Is Equal To The Set

Solution: (1) Consider the inequality |2x + 3| < 7 Since the inequality has modulo sign, on simplifying, −7 < 2x + 3 < 7... View Article

In A Class Of 60 Students If 25 Students Play Cricket 20 Students Play Tennis And 10 Students

Solution: (3) The total number of students = n (U) = 60 Number of students who play cricket = n (C) = 25 Number of students who play tennis =... View Article

The Total Number Of Subsets Of A Finite Set A Has 56 More Elements Than

Solution: (2) Let the number of elements in set A be p and set B be q. The power set of A is P (A) and B is P (B). P (A) has 2p elements and P... View Article

If X 4 N 3n 1 N And Y 9 N 1 N Where N Is The Set Of Natural Numbers Then X Y Is Equal To

Given: X = {4n - 3n - 1: n ∈ N} Y = {9(n - 1): n ∈ N} X can take values {0, 9, 54, 243, ….} when n = 1, 2, 3… Y... View Article

27 Nov 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 27th November 2020. Important news and views to... View Article

What Is The Chemical Composition Of Proteins

Proteins are large molecules consisting of many amino-acids connected by peptide linkages. Peptide bond is produced when carboxyl radical of one... View Article

How Can You Convert A Galvanometer Into A Voltmeter

Voltmeter is an instrument used to measure potential difference between the two ends of a current carrying conductor. A galvanometer is a type of... View Article

What Is The Main Difference Between Evaporation And Vaporization

Vaporization Evaporation Vaporization is a transitional phase of an element or compound from a solid phase or liquid phase to a gas... View Article

How Can I Calculate Delta G Of A Reaction

The energy associated with a chemical reaction that can be used to do work. The free energy of a system is the sum of its enthalpy (H) plus the... View Article

What Veins Carry Oxygenated Blood

The pulmonary arteries and the pulmonary veins are the vessels of the pulmonary circulation; which means they are responsible for carrying the... View Article

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