NCERT Solutions for Class 9 Maths Chapter 12 Heron's Formula Exercise 12.1 Solutions

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NCERT Solutions for Class 9 Maths Chapter 12 Exercise 12.1 Solutions are based on the concept of shapes, like triangles, and their construction methods.

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Exercise Solutions of Class 9 Maths Chapter 12 Heron’s Formula

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CBSE X Related Questions

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

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

    • 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.
        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.
          Which of the following graphs represents a polynomial with both zeroes being positive?


          • 5.
            For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is

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

            • 6.
              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

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

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