NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4

CBSE X Related Questions

  • 1.
    If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

      • 3
      • –3
      • –4
      • \(\pm 3\)

    • 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.
        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.


          • 4.
            A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.


              • 5.
                D is the mid-point of side BC of \(\triangle ABC\). CE and BF intersect at O, a point on AD. AD is produced to G such that \(OD = DG\). Prove that OBGC is a parallelogram.


                  • 6.
                    \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

                      • \(\frac{21}{4} \text{ cm}\)
                      • \(\frac{28}{3} \text{ cm}\)
                      • \(\frac{12}{7} \text{ cm}\)
                      • \(5.5 \text{ cm}\)

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