NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.2

CBSE X Related Questions

  • 1.
    Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


      • 2.
        Find 'mean' and 'mode' of the following data : Frequency Distribution Table
        Class0 – 1515 – 3030 – 4545 – 6060 – 7575 – 90
        Frequency118157109


          • 3.

            There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.


              • 4.
                If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is

                  • 2
                  • \( \frac{3}{2} \)
                  • 4
                  • \( \frac{5}{2} \)

                • 5.
                  Find the sum of first 20 terms of an A.P. whose n\(^{th}\) term is given by \(a_n = 5 + 2n\). Can 52 be a term of this A.P. ?


                    • 6.
                      In \(\triangle ABC, DE || BC\). If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is
                       △ABC,DE||BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1)

                        • 1
                        • \(\frac{1}{2}\)
                        • --1
                        • \(\frac{1}{3}\)

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