NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

CBSE X Related Questions

  • 1.
    In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.


      • 2.
        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

          • \(4 \text{ cm}\)
          • \(4\sqrt{2} \text{ cm}\)
          • \(8 \text{ cm}\)
          • \(2\sqrt{2} \text{ cm}\)

        • 3.
          The natural number 1 is :

            • a prime number.
            • a composite number.
            • prime as well as composite.
            • neither prime nor composite.

          • 4.
            Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)


              • 5.
                In the given figure, \(AB \parallel EF\). If \(AB = 24\) cm, \(EF = 36\) cm and \(DA = 7\) cm, then \(AE\) equals

                  • \(2.5\) cm
                  • \(10.5\) cm
                  • \(3.5\) cm
                  • \(\frac{14}{3}\) cm

                • 6.
                  Find the H.C.F. and L.C.M. of 1530 and 2040.

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