NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.2 Solutions

CBSE X Related Questions

  • 1.
    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.


      • 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.
            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 \(\Delta DBA \sim \Delta DAC\)


              • 4.
                Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :


                  • 5.
                    If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

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

                    • 6.
                      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 ?

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