NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.6 Solutions

CBSE X Related Questions

  • 1.
    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 \(\pi = 3.14\))

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

    • 2.
      For any natural number n, \( 5^n \) ends with the digit :

        • 0
        • 5
        • 3
        • 2

      • 3.
        Solve the linear equations \(3x + y = 14\) and \(y = 2\) graphically.


          • 4.
            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

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

            • 5.
              Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

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

              • 6.
                Arc \(PQ\) subtends an angle \(\theta\) at the centre of the circle with radius \(6.3 \text{ cm}\). If \(\text{Arc } PQ = 11 \text{ cm}\), then the value of \(\theta\) is

                  • \(10^{\circ}\)
                  • \(60^{\circ}\)
                  • \(45^{\circ}\)
                  • \(100^{\circ}\)

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