NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Exercise 2.4 Solutions

CBSE X Related Questions

  • 1.
    It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

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

    • 2.
      The value of $\left(\frac{1}{2} \tan^2 45^\circ - \cos^2 60^\circ\right)$ is :

        • $0$
        • $-\frac{1}{2}$
        • $\frac{1}{4}$
        • $-\frac{1}{4}$

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

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

          • 5.
            If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

              • \(-2\)
              • \(\sqrt{\frac{8}{3}}\)
              • \(1\)
              • \(2\)

            • 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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