NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3

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CBSE X Related Questions

  • 1.
    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.


      • 2.
        The sum of a number and its reciprocal is \(\frac{13}{6}\). Find the number.


          • 3.

            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.


              • 4.
                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.


                  • 5.
                    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
                      • \(\frac{1}{3}\)

                    • 6.
                      Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).

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