NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.1 Solutions are based on the following concepts:

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CBSE X Related Questions

  • 1.

    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.


      • 2.
        OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

          • \( \left(\frac{120}{7}\right)^\circ \)
          • \( 45^\circ \)
          • \( 60^\circ \)
          • \( 30^\circ \)

        • 3.

          Find the mean and mode of the following data:

          Class15--2020--2525--3030--3535--4040--45
          Frequency1210151175


            • 4.
              A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

                • $60^\circ$
                   

                • $45^\circ$
                • $30^\circ$
                • $90^\circ$

              • 5.

                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

                • 6.
                  A box contains 120 discs, which are numbered from 1 to 120. If one disc is drawn at random from the box, find the probability that
                  (i) it bears a 2-digit number
                  (ii) the number is a perfect square.

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