•  
    +91-22 - 43484479
    +91-22 - 43484480

Toppers' Discussion Forum

All questions answered by Topper experts.
Question By

Fri Apr 18, 2014 2:23 pm  

Ans: First find the determinant of the given square matrix.   That is we need to check whether A is singular (open vertical bar A close vertical bar equals 0) or non-singular (open vertical bar A close vertical bar not equal to 0).   If the determinant of the matrix is equal to zero, then the inverse of the matrix does not exist.   If the determinant of the matrix is not equal to zero, then the inverse of the matrix exist.

Fri Apr 18, 2014 9:56 am  

Ans: The characteristic of log356 is 3-1=2   Mantissa part is 0.5127   Thus log 356 = 2.5127

Fri Apr 18, 2014 9:42 am  

Ans: Dear bhuvisen

Thanks for asking us a question in Ask the Expert section of TopperLearning.com.
We are happy that you are pleased and it is our duty to give answers.   Try to post many queries so that we will answer and clear your doubts.   Regards

Topperlearning Team.

Fri Apr 18, 2014 9:39 am  

Ans: java.lang.Exception: The input exceeds the limit of 3072 characters of length. N o w space l e t space u s space f a c t o r i z e space 2 x squared minus x minus 1 : 2 x squared minus x minus 1 equals 0 rightwards double arrow 2 x squared minus 2 x plus x minus 1 equals 0 rightwards double arrow 2 x open parentheses x minus 1 close parentheses plus 1 open parentheses x minus 1 close parentheses equals 0 rightwards double arrow open parentheses 2 x plus 1 close parentheses open parentheses x minus 1 close parentheses equals 0 rightwards double arrow 2 x plus 1 equals 0 space o r space x minus 1 equals 0 rightwards double arrow 2 x equals minus 1 space o r space x equals 1 rightwards double arrow x equals fraction numerator minus 1 over denominator 2 end fraction space o r space x equals 1 T h u s space t h e space z e r o s space o f space t h e space g i v e n space p o l y n o m i a l space a r e : 2 plus square root of 3 comma 2 minus square root of 3 comma space fraction numerator minus 1 over denominator 2 end fraction comma 1

Fri Apr 18, 2014 9:35 am  

Ans: java.lang.Exception: The input exceeds the limit of 3072 characters of length.

Fri Apr 18, 2014 1:12 am  

Ans: g i v e n space t h a t space x equals 3 plus 2 square root of 2 W e space n e e d space t o space f i n d space t h e space v a l u e space o f space square root of x minus fraction numerator 1 over denominator square root of x end fraction : square root of x minus fraction numerator 1 over denominator square root of x end fraction equals square root of 3 plus 2 square root of 2 end root minus fraction numerator 1 over denominator square root of 3 plus 2 square root of 2 end root end fraction equals fraction numerator square root of 3 plus 2 square root of 2 end root cross times square root of 3 plus 2 square root of 2 end root minus 1 over denominator square root of 3 plus 2 square root of 2 end root end fraction equals fraction numerator 3 plus 2 square root of 2 minus 1 over denominator square root of 3 plus 2 square root of 2 end root end fraction equals fraction numerator 2 plus 2 square root of 2 over denominator square root of 3 plus 2 square root of 2 end root end fraction cross times fraction numerator square root of 3 minus 2 square root of 2 end root over denominator square root of 3 minus 2 square root of 2 end root end fraction equals fraction numerator 2 plus 2 square root of 2 over denominator square root of 3 squared minus 2 squared cross times 2 end root end fraction cross times begin inline style square root of 3 minus 2 square root of 2 end root end style equals open parentheses begin inline style 2 plus 2 square root of 2 end style close parentheses open parentheses begin inline style square root of 3 minus 2 square root of 2 end root end style close parentheses

Fri Apr 18, 2014 1:07 am  

Ans: java.lang.Exception: The input exceeds the limit of 3072 characters of length.

Fri Apr 18, 2014 12:42 am  

Ans:   We know that Distance = Speed x Time Distance travelled with 10 km/h for 30 mins = 10 space k m divided by h r space cross times 1 half h r space equals space 5 space k m Distance travelled with x km/h for 30 mins = x space k m divided by h r space cross times 1 half h r space equals space x over 2 k m   The total distance to be travelled is 15 km. Hence, Distance with 10 km/hr speed + Distance with x km/hr = 15 km rightwards double arrow 5 plus x over 2 equals 15 rightwards double arrow x equals 20 space k m divided by h r

Thu Apr 17, 2014 7:24 pm  

Ans:

Thu Apr 17, 2014 6:37 pm  

Ans:     We can choose 3 tickets out of 21 tickets in C(21,3) ways.   The three-term A.P. is determined by its first and last elements, which must have the same parity.     There are 10 even numbers and 11 odd numbers out of 21.   So, if we count the ways to pick the highest and the lowest such that they have the same parity, then, the middle number can be selected in a specific way.   If the lowest is 1, then the middle number can be selected in 10 ways.   If the lowest is 2 or 3, then the middle number can be selected in 9 ways.   If the lowest is 4 or 5, then the middle number can be selected in 8 ways. . . . . If the lowest is 10, then the middle number can be selected in 1 ways.   So the total
= n ( n + 1 ) 2 + ( n − 1 ) n 2 = n 2   = n ( n + 1 ) 2 + ( n − 1 ) n 2 = n 2     equals 10 plus 2 cross times 9 plus 2 cross times 8 plus 2 cross times 7 plus... plus 2 equals 10 plus 9 plus 8 plus 7 plus... plus 1 plus 9 plus 8 plus 7 plus... plus 1 equals fraction numerator 10 open parentheses 11 close parentheses over denominator 2 end fraction plus fraction numerator 9 open parentheses 10 close parentheses over denominator 2 end fraction equals 55 plus 45 equals 100   Total number of arrangements = C(21,3)=1330   So, the probability of the tickets that are drawn in AP equals 100 over 1330 equals 10 over 133
= n ( n + 1 ) 2   + ( n − 1 ) n 2   = n 2

Thu Apr 17, 2014 3:03 pm  

Ans: java.lang.Exception: The input exceeds the limit of 3072 characters of length.

Thu Apr 17, 2014 11:52 am  

Ans: In metallic conductors, free electrons are carriers of electricity and hence electrons constitute the electric current. Since electrons are negatively charged, they are attracted towards the positive terminal of the battery. Hence, direction of flow of electrons is always from negative to positive.   In an electric circuit, the direction of conventional current is always taken from the positive to negative terminal of the battery.    Hence, the direction of conventional electric current is in the opposite direction of electron flow.

Thu Apr 17, 2014 10:27 am  

Ans:

Wed Apr 16, 2014 10:32 pm  

Ans: Yes, Tungsten conducts electricity. Pure tungsten has s properties including the high resistivity, highest melting point (3695 K), lowest vapor pressure, and greatest tensile strength out of all the metals.Because of these properties it is the most commonly used material for light bulb filaments. It can reach high temperature before melting and therefore emit a brighter light 

Wed Apr 16, 2014 9:55 pm  

Ans: Blood is a fluid connective tissue contained in the heart and blood vessels of the circulatory system. Importance of blood: Blood forms a clot which serves to prevent the loss of blood and the entry of disease-causing germs. It transports digested food from the alimentary canal to the tissues. Blood helps in keeping the temperature of the body uniform by distributing heat. It transports excretory materials from the tissues to the liver, kidneys or skin for elimination. Endocrine glands secrete hormones into the blood so that they are transported to target sites. Haemoglobin is a respiratory pigment present in the stroma of RBCs. It is formed of an iron-containing part haemin and a protein globin. It combines readily with oxygen to form an unstable compound oxyhaemoglobin. This compound delivers oxygen to tissues. Hb + O 2 = Hb.O 2 (Oxyhaemoglobin) Haemoglobin can carry a very small quantity of carbon dioxide in the form of carbaminohaemoglobin. Hb + CO 2 = Hb.CO 2 (Carbaminohaemoglobin)

Wed Apr 16, 2014 7:28 pm  

Ans: w r i t e space a n y space f r a c t i o n a l space n u m b e r space w h i c h space i s space g r e a t e r space t h a n space 3 space a n d space l e s s space t h a n space 4 space a n d space a l s o space d o e s space n o t space h a v e space r e p e t a t i v e space p a r t s space  i. e space 3.45547865457 comma space 3.789436 comma space 3.789431 comma space 3.571522456 space

Wed Apr 16, 2014 6:57 pm  

Ans: A precipitation reaction is a reaction in which soluble ions in separate solutions are mixed together to form an insoluble compound that settles out of solution as a solid. That insoluble compound is called a precipitate. Example : When lead nitrate is treated with sulphuric acid , a white precipitate of lead sulphate is formed. Pb(NO 3 ) 2 + H 2 SO 4     →    PbSO 4   + 2HNO 3

Wed Apr 16, 2014 6:45 pm  

Ans: PV = nRT P 1 V 1 = n 1 RT 1 P 2 V 2 = n 2 RT 2 P 1 = P 2 = P P = n 1 RT 1 / V 1 and P = n 2 RT 2 / V 2 T 2 = 2 T 1 , V 1 = 100 L,  n 1 = 3 moles and n 2 = 1.5 moles n 1 T 1 / V 1 = n 2 x 2T 1 / V 2 3/100  =  1.5 x 2 / V 2 V 2 = 1.5 x 2 x 100 / 3 V 2 = 100 L   The new volume is 100 L .

Wed Apr 16, 2014 6:42 pm  

Ans: Dear prabpareek

Thanks for asking us a question in Ask the Expert section of TopperLearning.com.
We have not understood the query that you have posted. We would request you to clarify / provide additional details so that we may answer this to the best of the ability.

Regards

Topperlearning Team.

Wed Apr 16, 2014 6:37 pm  

Ans: can not be determined as there are two variables x, y and one equation.   For getting the answer we must have atleast one more equation or a condition. 
Top Contributors this Month
#1
71 Comments 145 Likes
#2
45 Comments 160 Likes
#3
31 Comments 52 Likes
#4
23 Comments 32 Likes

Go Back to the Old Site