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.
    There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylindrical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions:

    36(i) What is the total height of a mushroom ?


      • 2.
        Find the H.C.F. and L.C.M. of 408 and 312.


          • 3.
            Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

            38(i) Represent the above situation in terms of a pair of linear equations in two variables.


              • 4.
                If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

                  • \( \sqrt{3} \)
                  • \( \frac{4}{\sqrt{3}} \)
                  • \( \frac{\sqrt{3}}{2} \)
                  • \( 1 \)

                • 5.
                  Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :


                    • 6.
                      In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).

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