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.
    A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


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

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

        • 3.
          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

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

          • 4.
            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.


              • 5.
                The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


                  • 6.
                    In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

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