study materials9-12

STUDY MATERIALS9-12 chapter 1 NUMBER SYSTEM EXERCISE-1.2 Q1.state wetheer the following statements are true or false. jsutify your answers. (i)Every irrational number is a real number. answer: True Reason: Every number present in a real number line is real numbers and every irrational numbers is present in real number line (ii)Every point on the number line form square root m , where m is a natural number answer: False Reason:NO negative number cannot be the square root of natural number . (iii)Every real number is a irrational number answer: False Reason: Irratioanl numbers are those numbers that are repeating and non terminating whereas all kind numbers are lies in real number line. Q2. Are the square roots of all positive integeres irrational? If not give an example of the square root of a number that is a rational number. answer: No the square of all positive ...

STUDY MATERIALS9-12 chapter 1 NUMBER SYSTEM EXCERCISE 1.1 Q1. Is zero a rational number?Can you write it in the form of p/q, where p and q are integers and q is not equal to 0? answer : yes 0 is a rational number. example:0/2,0/3,0/4etc. Q2. Find six rational numbers between 3 and 4? answer : there can be infintely many rational numbers between 3 and 4 . To find these numbers we have to find the numbers in which the denominator of both the number are same and the numerator are those numbers which on dividing with denominator and give result as 3 and 4 hence six rtional numbers between 24/8 and 32/8 are 24/8, 25/8 26/8 27/8 28/8 29/8 30/8 and 31/8. Q3. Find six rational numbers between 3/5 and 4/5. answer : 3/5 and 4/5 since the denominatoe of both numbers are same. So,to get five numbers between 3/5 and 4/5 we have to multiply both side numenator and denominator by 5 3/5*5/5=15/25 and 4/5*5/5=20/25 so fi...

STUDY TALKS9-12 MATHS FORMULAS CLASS 9 {POLYNOMIALS} S.NO FORMULAS 1. {a+b} 2 =a 2 +b 2 +2ab 2. {a-b} 2 =a 2 +b 2 -2ab 3. {a+b} 3 =a 3 +b 3 +3ab{a+b} 4. {a-b} 3 =a 3 -b 3 -3ab{a-b} 5. a 2 -b 2 ={a+b}{a-b} 6. {x+a}{x+b}=x 2 +{a+b}x+ab 7. a 3 -b 3 ={a-b}{a 2 +b 2 +ab} 8. a 3 +b 3 ={a+b}{a 2 +b 2 -ab} 9. {a+b+c} 2 =a 2 +b 2 +c 2 +2ab+2bc+2ca 10. a 3 +b 3 +c 3 -3abc={a+b+c}{a 2 +b 2 +c 2 -ab-bc-ca}

Today I will tell you how to study as well as enjoy the life. the students who are in between class 9 to 12 as well as college students .It is the most prestegious and enjoyable time in our whole journey of life .Today this more important for those students who are in between class 9 to 12 and preparing for iit,jee and neet exams  . There are all students who gave their best to select in iits nits iiits and aiims but very few of them selected in the exams . Due to not selection in nits and iits many people comes in depression and felt that they can't do anything in his life they lost their confidence and completely broken from their heart. There are many people as well who get in depression from the begning day of prepration for exams they spent their whole day in exams and get isolated from the surrounding . They continuously getting more depressed and angry and then the time get when they start to do wrong things and bad things in mind are comes .         ...