NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.4 Solutions

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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.
      Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

        • \(2\pi r^3\)
        • \(3\pi r^3\)
        • \(5\pi r^3\)
        • \(4\pi r^3\)

      • 3.
        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.

        • 4.
          The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

            • 0
            • 1
            • 3
            • 2

          • 5.
            A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

              • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
              • \(314\) \(\text{cm}^{2}\)
              • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
              • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

            • 6.
              Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
              Reason (R) : Sum of the any two irrational numbers is always irrational.

                • 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.

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