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

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.3 is covered in this article with a detailed explanation. Chapter 1 Real Numbers Exercise 1.3 deals with proving that root p is irrational. The 3 questions of the exercise cover the concept of irrational numbers

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CBSE X Related Questions

  • 1.
    The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
     BC touches the circle at D such that BD = 6 cm


      • 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.

            Find the mean and mode of the following data:

            Class15--2020--2525--3030--3535--4040--45
            Frequency1210151175


              • 4.
                Using prime factorisation, find the HCF of 144, 180 and 192.


                  • 5.
                    The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.


                      • 6.
                        A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

                          • $60^\circ$
                             

                          • $45^\circ$
                          • $30^\circ$
                          • $90^\circ$

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