NCERT Solutions for Class 9 Maths Chapter 8 Triangles Exercise 8.1 Solutions

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NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Exercise 8.1 Solutions are based on different types of quadrilaterals, and their properties.

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Exercise Solutions of Class 9 Maths Chapter 8 Quadrilaterals

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CBSE X Related Questions

  • 1.
    In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).


      • 2.
        Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).


          • 3.
            In the adjoining figure, the slant height of the conical part is :

              • 4 cm
              • 7 cm
              • 5 cm
              • 25 cm

            • 4.
              In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
              (i) Name the quadrilateral MQBN. (1)
              (ii) Is MN parallel to PA? Justify your answer. (1)
              (iii) Find length TB. (1)
              (iv) Find length MN. (2)


                • 5.
                  Evaluate : \(\frac{3 \cos^2 30^{\circ} - 6 \csc^2 30^{\circ}}{\tan^2 60^{\circ}}\).


                    • 6.
                      The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

                        • \(2:5\)
                        • \(1:2\)
                        • \(2:1\)
                        • \(5:2\)

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