NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.1 Solutions

CBSE X Related Questions

  • 1.
    The natural number 1 is :

      • a prime number.
      • a composite number.
      • prime as well as composite.
      • neither prime nor composite.

    • 2.
      The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

        • 0
        • 1
        • 3
        • 2

      • 3.
        If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).


          • 4.
            In the given figure, \(AB \parallel EF\). If \(AB = 24\) cm, \(EF = 36\) cm and \(DA = 7\) cm, then \(AE\) equals

              • \(2.5\) cm
              • \(10.5\) cm
              • \(3.5\) cm
              • \(\frac{14}{3}\) cm

            • 5.
              In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


                • 6.
                  Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)

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