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Where Are Lanthanides Found

Lanthanides are naturally occurring in the rare-earth mineral. It is found in rare-earth minerals like allanite, cerite, bastnasite, and... View Article

How Does Conductivity Vary With Temperature

When the temperature of a solution increases, the mobility of the ions in the solution/metals increases; hence, conductivity increases. To know... View Article

What Is A Perfect Black Body Radiation

Perfect black body or an ideal black body absorbs all the incident radiations and does not transmit or reflect any energy from the body. To know... View Article

What Factors Affect Polarizability

Following factors affect polarizability: Molecular size: As the molecular size increases, polarizability also increases. The number of... View Article

Is Hydrochloric Acid Used For Cleaning

Yes, hydrochloric acid is used for cleaning. To know more about molarity in detail and other science topics in an interesting way, subscribe to... View Article

Why High Resistance Is Used In Potentiometer

High resistance is used in potentiometer since while measuring the EMF of a cell, it does not draw any current from the source of known EMF. To... View Article

The Number Of Surjections From A 1 N N 2 Onto B A B Is

Solution: (2) The number of surjections = 2n - 2... View Article

Let S Be A Set Containing N Elements Then The Total Number Of Binary Operations On S Is

Let S be a set containing n elements. Then the total number of binary operations on S is 1) nn 2) 3) 4) n2 Solution: (3) Number of... View Article

A Set Contains N Elements The Power Set Of A Contains

Solution: (2) n {P (A)} = 2n... View Article

Let A Be A Set Of Containing 10 Distinct Elements Then The Total Number Of Distinct Functions From A To A Is

Solution: (2) A = {a1, a2, ....................,a10} f (ai) = aj; j = 1, 2, ........, 10 and i = 1, 2, ......., 10 Total number of distinct... View Article

Let A 1 2 3 B 3 4 C 4 5 6 Then A Union B Intersection C Is

Solution: (2) A = {1, 2, 3} B = {3, 4} C = {4, 5, 6} (B ∩ C) = {4} A ∪ (B ∩ C) = {1, 2, 3} ∪ {4} = {1, 2, 3, 4}... View Article

If Sets A And B Are Defined As A X Y Y E X X Belongs To R And B X Y Y X X Belongs To R Then

Solution: (3) A = {(x, y) : y = ex, x ∈ R} B = {(x, y) : y = x, x ∈ R} A ∩ B = φ... View Article

Let A A B D E B C D F M C A L M O Then C A Union B Will Be Given By

Solution: (3) (A ∪ B) = {a, b, c, d, e, f, m} C ∩ (A ∪ B) = {a, l, m, o} ∩ {a, b, c, d, e, f, m} = {a, m}... View Article

Let A X X Is A Multiple Of 3 B X X Is A Multiple Of 5 Then A Intersection B Is Given By

Solution: (3) A = {x : x is a multiple of 3} A = {3, 6, 9, 12, 15, ….} B = {x : x is a multiple of 5} B = {5, 10, 15, 20, 25 …..} A ∩ B =... View Article

The Range Of The Function F X Ln 3x 2 4x 5 Is Equal To

Solution: (1) f (x) = ln (3x2 - 4x + 5) R ∈ [- (16 - 4 + 3 + 5) / 12, ∞] R ∈ (11 / 3, ∞) f (x) ∈ [ln (11 / 3), ∞]... View Article

The Domain Of F X Sin 1 Log 2 X 2 Is

Solution: (4) -1 ≤ log2 (x2 / 2) ≤ 1 (2)-1 ≤ (x2 / 2) ≤ 21 (1 / 2) ≤ (x2 / 2) ≤ 2 1 ≤ x2 ≤ 4 1 ≤ |x| ≤ 2 x ∈ [-2, -1] ⋃ [1, 2]... View Article

If 2 F X 2 3 F 1 X 2 X 2 1 For All X Belongs To R 0 Then F X 2 Is Equal To

Solution: 2 f (x2) + 3 f (1 / x2) = x2 - 1 -- (1) * 2 x2 → (1 / x2) 2 f (1 / x2) + 3 f (x2) = (1 / x2) - 1 -- (1) * 3 4 f (x2) + 6 f (1 /... View Article

The Domain Of Cos 1 X 3 2 Log 10 4 X Is

Solution: (2) f (x) = cos-1 [(x - 3) / 2] - log10 (4 - x) cos-1 [(x - 3) / 2] = θ cos θ = [(x - 3) / 2] -1 ≤ cos θ ≤ 1 -1 ≤ [(x - 3) / 2]... View Article

If F X Is A Polynomial Function Of The Second Degree Such That F 3 6 F 0 6 And F 2 11 Then The Graph Of The Function F X Cuts The Ordinate X 1 At The Point

Solution: (1) f (x) = ax2 + bx + c f (0) = 6 c = 6 f (2) = 11 4a + 2b + 6 = 11 4a + 2b = 5 --- (1) f (-3) = 6 9a - 3b + 6 = 6 9a = 3b... View Article

If F 2x 3 Sin X 2x Then F 4m 2n 3 Is Equal To

Solution: (2) f (4m - 2 n + 3) = f (2 (2m - n) + 3) = sin (2m - n) + 2(2m-n) f (4m - 2 n + 3) = sin (2m - n) + 2(2m-n)... View Article

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