What is the rationalizing factor of (a+√b)
Question : The rationalizing factor of $(\mathrm{a}+\sqrt{\mathrm{b}})$ is $a-\sqrt{b}$ $\sqrt{a}-b$ $\sqrt{a}-\sqrt{b}$ None of these Solution : Correct option is 1. $a-\sqrt{b}$ The rationalizing factor of $a + \sqrt{b}$ is $a - \sqrt{b}$ as the product of these two expressions give a rational number....
Read More →The decimal expansion of π is
Question : The decimal expansion of π is : terminating non-terminating and non-recurring non-terminating and recurring doesn't exist Solution : The correct option is 2. non-terminating and non-recurring We know that $\pi$ is an irrational number and Irrational numbers have decimal expansions that neither terminate nor become periodic. So, correct answer is option 2....
Read More →Between any two rational numbers, there are infinitely many rational numbers
Question : Between any two rational numbers there is no rational number there is exactly one rational number there are infinitely many rational numbers there are only rational numbers and no irrational numbers Solution : The correct option is 3. there are infinitely many rational numbers Recall that to find a rational number between r and s, you can add $\mathrm{r}$ and $\mathrm{s}$ and divide the sum by 2 , that is $\frac{\mathrm{r}+\mathrm{s}}{2}$ lies between $\mathrm{r}$ and $\mathrm{s}$. Fo...
Read More →Find any five rational numbers between -3/2 and 5/3
Question : State true or false :Five rational numbers between $\frac{-3}{2}$ and $\frac{5}{3}$ are $\frac{-8}{6}, \frac{-7}{6}, 0, \frac{1}{6}, \frac{2}{6}$ True False Solution : The Correct option is 1. True To get the rational numbers between $\frac{-3}{2}$ and $\frac{5}{3}$ Take an LCM of these two numbers: $\frac{-9}{6}$ and $\frac{10}{6}$ All the numbers between $\frac{-9}{6}$ and $\frac{10}{6}$ form the answer Some of these numbers are $\frac{-8}{6}, \frac{-7}{6}, 0, \frac{1}{6}, \frac{2}{...
Read More →five rational numbers which are smaller than 2
Question : Following are the five rational numbers that are smaller than 2 $\Rightarrow 1, \frac{1}{2}, 0,-1, \frac{-1}{2}$If true then enter 1 and if false then enter 0 Solution : Correct option is 1 Any number in the form of $\frac{p}{q}$ which is less than 2 will form the answer. So given numbers are $1, \frac{1}{2}, 0,-1, \frac{-1}{2}$ rational number which are smaller than 2 So the statement is true....
Read More →Find five rational numbers between:2/3 and 4/5
Question : State true or false:Five rational numbers between$\frac{2}{3}$ and $\frac{4}{5}$ are $\frac{41}{60}, \frac{42}{60}, \frac{43}{60}, \frac{44}{60}, \frac{45}{60}$ True False Solution : Correct option is 1.True To get the rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$ Take an LCM of these two numbers: $\frac{10}{15}$ and $\frac{12}{15}$ Multiply numerator and denominator by $4: \frac{40}{60}$ and $\frac{48}{60}$ All the numbers between $\frac{40}{60}$ and $\frac{48}{60}$ form t...
Read More →Every rational number is a real number
Question : Every rational number is A natural number An integer A real number A whole number Solution : The correct option is 3. A real number Real number is a value that represents a quantity along the number line. Real number includes all rational and irrational numbers. Rational numbers are numbers that can be represented in the form $\frac{p}{q}$ where, $\mathrm{q} \neq 0$ and $\mathrm{p}, \mathrm{q}$ are integers. Therefore, a rational number is a subset of a real number. We know that ratio...
Read More →A number is an irrational if and only if its decimal representation is
Question : A number is irrational if and only if its decimal representation is : Non-terminating Non-terminating and repeating Non-terminating and non-repeating Terminating Solution : The correct option is 3. non-terminating and non-repeating According to the definition of an irrational number, If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Hence, a number having non terminating and non-repeating...
Read More →There are numbers which cannot be written in the form p/q , where q ≠ 0 and both p, q are integers
Question : State true or false:There are numbers which cannot be written in the form p/q , where q ≠ 0 and both pq are integers. True False Solution : The correct option is 1. True The statement is true as there are Irrational numbers which don't satisfy the condition of rational numbers i.e irrational numbers cannot be written in the form of $_{\mathrm{q}}^{\mathrm{p}} $ , $\mathrm{q} \neq 0$, where $\mathrm{p}, \mathrm{q}$ are integers. Example, $\sqrt{3}, \sqrt{99}$...
Read More →Two Rational Numbers Between 2/3 and 5/3 are
Question : Two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are : $\frac{1}{6}$ and $\frac{2}{6}$ $\frac{1}{2}$ and $\frac{2}{1}$ $\frac{5}{6}$ and $\frac{7}{6}$ $\frac{2}{3}$ and $\frac{4}{3}$ Solution : Correct option is 3. $\frac{5}{6}$ and $\frac{7}{6}$ Changing the denominators of both numbers to 6, we get $\frac{2}{3}=\frac{4}{6} \quad \ \quad \frac{5}{3}=\frac{10}{6}$ $\frac{5}{6} \ \frac{7}{6}$ So, correct answer is option 3....
Read More →The value of 2√3 + √3 is equal to
Question: The value of $2 \sqrt{3}+\sqrt{3}$ is equal to : $2 \sqrt{6}$ $3 \sqrt{3}$ $4 \sqrt{6}$ 6 Solution : Correct option is 2. $3 \sqrt{3}$ $2 \sqrt{3}+\sqrt{3}=(2+1) \sqrt{3}=3 \sqrt{3}$...
Read More →In between two rational number there is/are
Question: In between two rational numbers there is/are : Only irrational number Exactly one rational number Infinitely many rational numbers Many irrational numbers Solution : The correct option is 1. Infinitely many rational numbers Recall that to find a rational number between r and s, you can add $\mathrm{r}$ and $\mathrm{s}$ and divide the sum by 2 , that is $\frac{\mathrm{r}+\mathrm{s}}{2}$ lies between $\mathrm{r}$ and $\mathrm{s}$. For example, $\frac{5}{2}$ is a number between 2 and 3 We...
Read More →The property under multiplication used in each of the following. -4/5 × 1 = 1 × -4/5 = -4/5
Question. The property under multiplication used in each of the following. -4/5 × 1 = 1 × -4/5 = -4/5 Commutative Property Associate Property Distributive property Identity Property Solution: The correct options are 1. Commutative Property and 4. Identity Property According to commutative property if a and b are real numbers then a x b = b x a According to Identity if a is any real number then a x 1 = 1 So correct answer will be options 1 and 4...
Read More →If additive inverse of 2/8 is -2/q , then find the value of p
Question. If the additive inverse of 2/8 is -2/q, then find the value of p Solution: The additive inverse of a number x is −x. For example, additive inverse of $\frac{1}{2}$ is $-\frac{1}{2}$ Here, for $\frac{2}{8}$ additive inverse is $-\frac{2}{8}$....
Read More →Tell what property allows you to compute 1/3 × (6 × 4/3) as (1/3 × 6) × 4/3
Choose the correct option for the following statement. The property allows you to compute $\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$ as $\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$ is Associativity. The given statement is true. The given statement is false. Incomplete information None of these Solution: The correct option is 1 The given statement is true. For any element $\mathrm{a}, \mathrm{b}, \mathrm{c} \in \mathrm{A}$, associative property states that $\mathrm{a}(\mathrm...
Read More →If -5/9 is additive inverse of 5/p , then find the value of p
Questions. If $\frac{-5}{9}$ is the additive inverse of $\frac{5}{\mathrm{p}}$, then what is the value of p ? 9 5 1 7 Solution: The correct option is 1 The additive inverse of a number X is -X. For example, additive inverse of:- $\frac{-5}{9}$ is $\frac{5}{9}$ Comparing this with $\frac{5}{\mathrm{p}}$, we have $\mathrm{p}=9$...
Read More →RD Sharma Solutions for Class 9 Maths Chapter 16 Circles - Free PDF Download
RD Sharma Solutions for Class 9 Maths Chapter 16 Circles Hey, are you a class 9 student and looking for ways to download RD Sharma Solutions for Class 9 Maths Chapter 16 "Circles "? If yes. Then read this post till the end. In this article, we have listed RD Sharma Solutions for Class 9 Maths Chapter 16 in PDF that is prepared by Kota’s top IITian’s Faculties by keeping Simplicity in mind. If you want to learn and understand class 9 Maths Chapter 16 "Circles " in an easy way then you can use the...
Read More →Find two rational numbers between 2/3 and 5/3
Question. Two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are: $\frac{1}{6}$ and $\frac{2}{6}$ $\frac{1}{2}$ and $\frac{2}{1}$ $\frac{5}{6}$ and $\frac{7}{6}$ $\frac{2}{3}$ and $\frac{4}{3}$ Solution: Correct option is 3 $\frac{5}{6}$ and $\frac{7}{6}$ Changing the denominators of both numbers to 6, we get $\frac{2}{3}=\frac{4}{6} \quad \ \quad \frac{5}{3}=\frac{10}{6}$ Numbers between the given rational numbers from the options are $\frac{5}{6} \quad \ \quad \frac{7}{6}$ So, correc...
Read More →Name the property under multiplication used in the following. -13/17 × (-2/7) = -2/7 × (-13/17)
Question. The property under multiplication used is: $-\frac{13}{17} \times \frac{-2}{7}=\frac{-2}{7} \times \frac{-13}{17}$ Associative Property Commutative Property Distributive Property Identity Property Solution: The correct option is 2 Commutative Property The commutative property says that if a and b are two numbers then a×b=b×a So correct answer will be Option 2...
Read More →Electric Charges and Fields 01 | Sec 1.1-1.3 | Electric Charge | Class 12 NCERT in Short
Hey are you Class 12 Student and looking for Physics quick revision videos? If yes then you are at the right place. In this article we have listed class 12 NCERT Physics topic wise quick Revision Fatafat series 13th Video that you can watch to revise class 12 Physics Topics such as Electric Charges and Fields. The NCERT Physics revision videos are designed for all class 12 Science students and JEE and NEET aspirants to provide quick revision of all the topics of JEE NEET with important key conce...
Read More →Electric Charges and Fields L2 | Sec 1.4-1.5 | Charging By Induction | Class 12 NCERT
Hey are you Class 12 Student and looking for Physics quick revision videos? If yes then you are at the right place. In this article we have listed class 12 NCERT Physics topic wise quick Revision Fatafat series 12th Video that you can watch to revise class 12 Physics Topics such as Charging By Induction. The NCERT Physics revision videos are designed for all class 12 Science students and JEE and NEET aspirants to provide quick revision of all the topics of JEE NEET with important key concepts an...
Read More →Electric Charges and Fields-L3 | Class 12 Physics | Coulomb’s Law | 𝐅𝐚𝐭𝐚𝐟𝐚𝐭 𝐍𝐂𝐄𝐑𝐓 𝐒𝐞𝐫𝐢𝐞𝐬
Hey are you Class 12 Student and looking for Physics quick revision videos? If yes then you are at the right place. In this article we have listed class 12 NCERT Physics topic wise quick Revision Fatafat series 11th Video that you can watch to revise class 12 Physics Topics such as Coulomb’s Law. The NCERT Physics revision videos are designed for all class 12 Science students and JEE and NEET aspirants to provide quick revision of all the topics of JEE NEET with important key concepts and Formul...
Read More →Electric Charges & Fields-L4 | Class 12 Physics | Electric Field & Field Lines| 𝐅𝐚𝐭𝐚𝐟𝐚𝐭 𝐍𝐂𝐄𝐑𝐓 𝐒𝐞𝐫𝐢𝐞𝐬
Hey are you Class 12 Student and looking for Physics quick revision videos? If yes then you are at the right place. In this article we have listed class 12 NCERT Physics topic wise quick Revision Fatafat series 10th Video that you can watch to revise class 12 Physics Topics such as Electric Field Field Lines. The NCERT Physics revision videos are designed for all class 12 Science students and JEE and NEET aspirants to provide quick revision of all the topics of JEE NEET with important key concep...
Read More →Electric Charges & Fields-L5 | Class 12 Physics | Electric Dipole | 𝐅𝐚𝐭𝐚𝐟𝐚𝐭 𝐍𝐂𝐄𝐑𝐓 𝐒𝐞𝐫𝐢𝐞𝐬
Hey are you Class 12 Student and looking for Physics quick revision videos? If yes then you are at the right place. In this article we have listed class 12 NCERT Physics topic wise quick Revision Fatafat series 9th Video that you can watch to revise class 12 Physics Topics such as Electric Charges Fields. The NCERT Physics revision videos are designed for all class 12 Science students and JEE and NEET aspirants to provide quick revision of all the topics of JEE NEET with important key concepts a...
Read More →Electric Charges & Fields-L7 | Class 12 Physics | Gauss's Law | 𝐅𝐚𝐭𝐚𝐟𝐚𝐭 𝐍𝐂𝐄𝐑𝐓 𝐒𝐞𝐫𝐢𝐞𝐬
Hey are you Class 12 Student and looking for Physics quick revision videos? If yes then you are at the right place. In this article we have listed class 12 NCERT Physics topic wise quick Revision Fatafat series 8th Video that you can watch to revise class 12 Physics Topics such as Electric Charges Fields. The NCERT Physics revision videos are designed for all class 12 Science students and JEE and NEET aspirants to provide quick revision of all the topics of JEE NEET with important key concepts a...
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