NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.3 Solutions

CBSE X Related Questions

  • 1.
    A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

      • $60^\circ$
         

      • $45^\circ$
      • $30^\circ$
      • $90^\circ$

    • 2.

      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 $\sin 2\theta$.


        • 3.
          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


            • 4.

              The following data shows the number of family members living in different bungalows of a locality:
               

              Number of Members0−22−44−66−88−10Total
              Number of Bungalows10p60q5120


              If the median number of members is found to be 5, find the values of p and q.


                • 5.
                  The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.


                    • 6.

                      Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

                        • 8 cm
                        • \(4\sqrt{5}\) cm
                        • \(2\sqrt{5}\) cm
                        • 12 cm

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