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.
    Evaluate : \(\frac{3 \cos^2 30^{\circ} - 6 \csc^2 30^{\circ}}{\tan^2 60^{\circ}}\).


      • 2.

        Which of the following sequence is \(\textit{not }\)an A.P. ?
         

          • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
          • \( -1.2, -3.2, -5.2, -7.2, \dots \)
          • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
          • \( 1^2, 3^2, 5^2, 7^2, \dots \)

        • 3.
          In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).


            • 4.
              The HCF of 960 and 432 is :

                • 48
                • 54
                • 72
                • 36

              • 5.
                Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


                  • 6.
                    PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.

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