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.

    There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.


      • 2.
        Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).


          • 3.
            Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).


              • 4.
                Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


                  • 5.
                    Find 'mean' and 'mode' of the following data : Frequency Distribution Table
                    Class0 – 1515 – 3030 – 4545 – 6060 – 7575 – 90
                    Frequency118157109


                      • 6.
                        Using prime factorisation, find the HCF of 144, 180 and 192.

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