NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1

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Jasmine Grover

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1 is covered in this article with a step by step explanation. Chapter 1 Real Numbers Exercise 1.1 covers basic concepts of divisibility of integers using Euclid’s division algorithm. Euclid’s division algorithm says that any positive integer a can be divided by another positive integer b in a way that the remainder will be smaller than b.

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CBSE X Related Questions

  • 1.
    In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
    (i) Name the quadrilateral MQBN. (1)
    (ii) Is MN parallel to PA? Justify your answer. (1)
    (iii) Find length TB. (1)
    (iv) Find length MN. (2)


      • 2.
        The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

          • \(2:5\)
          • \(1:2\)
          • \(2:1\)
          • \(5:2\)

        • 3.
          Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).


            • 4.
              The HCF of 960 and 432 is :

                • 48
                • 54
                • 72
                • 36

              • 5.
                Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
                Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

                  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                  • Assertion (A) is true, but Reason (R) is false.
                  • Assertion (A) is false, but Reason (R) is true.

                • 6.
                  The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

                    • 0
                    • 1
                    • 3
                    • 2

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