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

CBSE X Related Questions

  • 1.
    If \( \alpha \) and \( \beta \) are two zeroes of a polynomial \( f(x) = px^2 - 2x + 3p \) and \( \alpha + \beta = \alpha\beta \), then value of p is :

      • \( -\frac{2}{3} \)
      • \( \frac{2}{3} \)
      • \( \frac{1}{3} \)
      • \( -\frac{1}{3} \)

    • 2.
      For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

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

      • 3.
        The graph of a quadratic polynomial f(x) passes through (5,0), (0, -1) and (-2, 0). The two factors of the polynomial are

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

        • 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 value of k for which sum of the zeroes of the polynomial \(p(x) = 3x^2 - kx + 6\) is 2, is

              • 2
              • \(-6\)
              • \(-2\)
              • 6

            • 6.
              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

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

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