NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.3

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NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Exercise 12.3 Solutions are based on calculation of areas of some combinations of plane figures which are available in daily life (window designs, bedsheets designs, carpet designs, etc. through some examples.

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CBSE X Related Questions

  • 1.

    Find the mean and mode of the following data:

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


      • 2.

        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.


          • 3.
            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

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

            • 4.
              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.


                • 5.

                  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 $\sin 2\theta$.


                    • 6.
                      The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
                       BC touches the circle at D such that BD = 6 cm

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