NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1 Solutions

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CBSE X Related Questions

  • 1.
    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.

    • 2.
      If the zeroes of the polynomial \(p(x) = 2x^2 - 7x + 6\) are \(\alpha\) and \(\beta\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\) is

        • \(\frac{7}{2}\)
        • \(\frac{6}{7}\)
        • \(\frac{-7}{6}\)
        • \(\frac{7}{6}\)

      • 3.
        Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

          • 34
          • 43
          • 38.5
          • 41.5

        • 4.
          Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is

            • \(10^{\circ}\)
            • \(60^{\circ}\)
            • \(45^{\circ}\)
            • \(100^{\circ}\)

          • 5.
            In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

              • $6$
              • $4$
              • $\pm 4$
              • $3$

            • 6.
              For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

                • \(0\)
                • \(\frac{80}{81}\)
                • \(1\)
                • \(\frac{82}{80}\)

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