NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2

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Jasmine Grover

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CBSE X Related Questions

  • 1.
    Determine the ratio in which the line \(2x + y = 6\) divides the line segment joining the points (1, 3) and (2, 5).


      • 2.
        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) \(AD \times QS = BD \times PS\).


          • 3.
            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 ?


              • 4.
                In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

                35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)


                  • 5.
                    In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

                    37(i) Find \(m\angle AOP\).


                      • 6.
                        Three coins are tossed together. The probability of getting exactly two tails is

                          • \(\frac{2}{8}\)
                          • \(\frac{1}{2}\)
                          • \(\frac{3}{8}\)
                          • 1

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