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.
    In \(\triangle ABC, DE || BC\). If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is
     △ABC,DE||BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1)

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

    • 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.
          Three coins are tossed together. The probability that at least one head comes up is

            • \(\dfrac{3}{8}\)
            • \(\dfrac{7}{8}\)
            • \(\dfrac{1}{8}\)
            • \(\dfrac{3}{4}\)

          • 4.
            In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]


              • 5.
                Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


                  • 6.
                    Using prime factorisation, find the HCF of 144, 180 and 192.

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