NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.5

CBSE X Related Questions

  • 1.
    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.


      • 2.
        If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

          • 12 and 13
          • 13 and 12
          • 10 and 15
          • 15 and 10

        • 3.
          The perimeters of two similar triangles are 22 cm and 33 cm respectively. If one side of the first triangle is 9 cm, then find the length of the corresponding side of the second triangle.


            • 4.
              Using prime factorisation, find the HCF of 144, 180 and 192.


                • 5.
                  Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).


                    • 6.
                      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
                        • \(\frac{1}{3}\)

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