NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Exercise 2.1 Solutions

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

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

      • 3.
        There are two sections A and B of Grade X. There are 28 students in Section A and 30 students in Section B. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B ?

          • 144
          • 2
          • 420
          • 272

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


            • 6.
              In an A.P., if $a_{14} - a_8 = 24$, then the common difference of the A.P. is

                • $6$
                • $4$
                • $\pm 4$
                • $3$

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