NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.3 Solutions

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.
        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 \(m\angle AOP\).


          • 3.
            If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

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

            • 4.
              Prove that : \(\sqrt{\frac{1 - \cos A}{1 + \cos A}} = \frac{\tan A}{\sec A + 1}\).


                • 5.
                  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) \(AD \times QS = BD \times PS\).


                    • 6.
                      If 14th term of an A.P. is 4 and its 15th term is zero, then its first term is

                        • –48
                        • –56
                        • 56
                        • 48

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