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

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Jasmine Grover

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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 value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

      • $1$
      • $-5$
      • $25$
      • $\sqrt{5}$

    • 2.
      Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


        • 3.
          Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

            • $\frac{5}{12}$
            • $\frac{5}{6}$
            • $1$
            • $0$

          • 4.
            Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


              • 5.
                In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.


                  • 6.
                    An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is

                      • $50^\circ$
                      • $60^\circ$
                      • $45^\circ$
                      • $30^\circ$

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