NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.5 Solutions

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.5 Solutions are based on all the topics covered in the chapter, surface areas and volumes. 

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CBSE X Related Questions

  • 1.
    The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

      • unique solution
      • two solutions
      • no solution
      • infinite number of solutions

    • 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.

          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 $\sin 2\theta$.


            • 4.
              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

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

              • 5.

                Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.


                  • 6.
                    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

                      • $60^\circ$
                         

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

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