NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.3

CBSE X Related Questions

  • 1.

    In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$.


      • 2.

        On the day of her examination, Riya sharpened her pencil from both ends as shown below.

        The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.


          • 3.
            The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

              • unique solution
              • two solutions
              • no solution
              • infinite number of solutions

            • 4.

              Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

                • 8 cm
                • \(4\sqrt{5}\) cm
                • \(2\sqrt{5}\) cm
                • 12 cm

              • 5.

                The following data shows the number of family members living in different bungalows of a locality:
                 

                Number of Members0−22−44−66−88−10Total
                Number of Bungalows10p60q5120


                If the median number of members is found to be 5, find the values of p and q.


                  • 6.

                    In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.

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