NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2

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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, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


        • 3.
          OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

            • \( \left(\frac{120}{7}\right)^\circ \)
            • \( 45^\circ \)
            • \( 60^\circ \)
            • \( 30^\circ \)

          • 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.

                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 $\sin 2\theta$.


                  • 6.
                    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

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