NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.1 Solutions

CBSE X Related Questions

  • 1.
    Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).


      • 2.
        If the sum of first n terms of an A.P. is given by \( S_n = \frac{n}{2}(3n+1) \), then the first term of the A.P. is

          • 2
          • \( \frac{3}{2} \)
          • 4
          • \( \frac{5}{2} \)

        • 3.

          There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.


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


                • 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.

                    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.

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