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

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Jasmine Grover

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.4 deals with the concepts of rational numbers and their decimal expansions. The exercise has 3 short questions of the exercise discussing when the decimal expansion of a rational number is terminating and when it is non-terminating.

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CBSE X Related Questions

  • 1.
    Prove that : \(\sqrt{\frac{1 - \cos A}{1 + \cos A}} = \frac{\tan A}{\sec A + 1}\).


      • 2.
        PQ is tangent to the circle with centre O such that OP = 2OQ. m\(\angle\)OPQ is

          • 15\(^\circ\)
          • 60\(^\circ\)
          • 45\(^\circ\)
          • 30\(^\circ\)

        • 3.
          In the given figure, PQ is a tangent to a circle with centre \(O(-5, 3)\). If coordinates of P and Q are \((3, 1)\) and \((0, 6)\) respectively, then using distance formula, show that \(PQ \perp OQ\).


            • 4.
              \(17 \times 11 \times 13 + 11\) is

                • a prime number.
                • multiple of 17.
                • a composite number.
                • an odd number.

              • 5.
                In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

                35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)


                  • 6.
                    There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylindrical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions:

                    36(i) What is the total height of a mushroom ?

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