NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.1 Solutions are based on the following concepts:

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CBSE X Related Questions

  • 1.

    In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
    Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).


      • 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 \(\triangle ABC, \angle B = 90^\circ\). If \(\frac{AB}{AC} = \frac{1}{2}\), then \(\cos C\) is equal to

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

            • 4.
              Nidhi received simple interest of ₹1,200 when she invested ₹x at 6% per annum and ₹y at 5% per annum for 1 year. Had she invested ₹x at 3% per annum and ₹y at 8% per annum for that year, she would have received simple interest of ₹1,260.Find the values of x and y.


                • 5.
                  Find 'mean' and 'mode' of the following data : Frequency Distribution Table
                  Class0 – 1515 – 3030 – 4545 – 6060 – 7575 – 90
                  Frequency118157109


                    • 6.
                      If \(\alpha, \beta\) are zeroes of the polynomial \(8x^2 - 5x - 1\), then form a quadratic polynomial in x whose zeroes are \(\frac{2}{\alpha}\) and \(\frac{2}{\beta}\).

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