NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.3 Solutions

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NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.3 Solutions are based on two theorems, (i) The perpendicular from the center of a circle to a chord is seen to bisect the chord. (ii) The line drawn through the center of a circle to bisect a chord is seen to be perpendicular to it.

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Check out NCERT Solutions for Class 9 Maths Chapter 10 Exercise 10.3 Solutions

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Exercise Solutions of Class 9 Maths Chapter 10 Circles

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CBSE X Related Questions

  • 1.
    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

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

    • 2.
      It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

        • \(\frac{\text{Perimeter of } \triangle ABC}{\text{Perimeter of } \triangle EDF} = \frac{AB}{ED}\)
        • \(\frac{AB}{ED} = \frac{AC}{EF}\)
        • \(\angle A = \angle D, \angle C = \angle F\)
        • \(\frac{AB + BC}{AC} = \frac{ED + DF}{EF}\)

      • 3.
        In the given figure, $PQ$ is tangent to the circle with centre $O$. $S$ is a point on the circle such that $\angle SQT = 55^\circ$. The $m\angle QPS$ is

          • $55^\circ$
          • $20^\circ$
          • $35^\circ$
          • $70^\circ$

        • 4.
          For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

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

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

                • 34
                • 43
                • 38.5
                • 41.5

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