NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1 is covered in this article with a step by step explanation. Chapter 1 Real Numbers Exercise 1.1 covers basic concepts of divisibility of integers using Euclid’s division algorithm. Euclid’s division algorithm says that any positive integer a can be divided by another positive integer b in a way that the remainder will be smaller than b.

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CBSE X Related Questions

1.
Using prime factorisation, find the HCF of 144, 180 and 192.
View Solution
2.
Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number
View Solution
3.
Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]
View Solution
4.
The following data shows the number of family members living in different bungalows of a locality:

Number of Members 0−2 2−4 4−6 6−8 8−10 Total
Number of Bungalows 10 p 60 q 5 120

If the median number of members is found to be 5, find the values of p and q.
View Solution
5.
Solve the equation $4x^2 - 9x + 3 = 0$, using quadratic formula.
View Solution
6.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.
View Solution

Number of Members	0−2	2−4	4−6	6−8	8−10	Total
Number of Bungalows	10	p	60	q	5	120

View All

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.2

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.3

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.4

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1

CBSE X Related Questions

1.
Using prime factorisation, find the HCF of 144, 180 and 192.

2.
Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number

3.
Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

4.
The following data shows the number of family members living in different bungalows of a locality:

Number of Members 0−2 2−4 4−6 6−8 8−10 Total
Number of Bungalows 10 p 60 q 5 120

If the median number of members is found to be 5, find the values of p and q.

5.
Solve the equation \(4x^2 - 9x + 3 = 0\), using quadratic formula.

6.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

Similar Mathematics Concepts

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1

CBSE X Related Questions

1.Using prime factorisation, find the HCF of 144, 180 and 192.

2.Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that (i) $pqr + 1$ is a composite number (ii) $pqr + 1$ is a prime number

3.Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

4.The following data shows the number of family members living in different bungalows of a locality: Number of Members0−22−44−66−88−10TotalNumber of Bungalows10p60q5120If the median number of members is found to be 5, find the values of p and q.

5. Solve the equation \(4x^2 - 9x + 3 = 0\), using quadratic formula.

6.In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Using prime factorisation, find the HCF of 144, 180 and 192.

2.
Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number

3.
Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

4.
The following data shows the number of family members living in different bungalows of a locality:

Number of Members 0−2 2−4 4−6 6−8 8−10 Total
Number of Bungalows 10 p 60 q 5 120

If the median number of members is found to be 5, find the values of p and q.

5.
Solve the equation \(4x^2 - 9x + 3 = 0\), using quadratic formula.

6.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.