NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Exercise 2.2 Solutions

CBSE X Related Questions

  • 1.
    PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

      • \(a^2 + (a + 2)^2 = (2b)^2\)
      • \(b^2 = a + 4\)
      • \(2a^2 + 1 = b^2\)
      • \(b^2 = a + 1\)

    • 2.
      An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

        • \(1 : 8\)
        • \(1 : 2\)
        • \(1 : 1\)
        • \(2 : 1\)

      • 3.
        The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


          • 4.
            Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
            Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

              • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
              • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Assertion (A) is false, but Reason (R) is true.

            • 5.
              A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.


                • 6.
                  Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.

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