NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.2 Solutions

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NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.2 Solutions are based on two theorems, which are, (i) Equal circle chords subtend equal angles at the center. (ii) If the angles subtended by the chords at the center tend to be equal, then the chords are equal too.

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Exercise Solutions of Class 9 Maths Chapter 10 Circles

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

        • 34
        • 43
        • 38.5
        • 41.5

      • 3.
        For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

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

        • 4.
          If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

            • \(4 \text{ cm}\)
            • \(4\sqrt{2} \text{ cm}\)
            • \(8 \text{ cm}\)
            • \(2\sqrt{2} \text{ cm}\)

          • 5.
            The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

              • \((x + 2), (x - 5)\)
              • \((x + 5), (x - 2)\)
              • \((x + 1), (x - 5)\)
              • \((x - 1), (x + 2)\)

            • 6.
              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

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

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