NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.4 Solutions

CBSE X Related Questions

  • 1.
    Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)


      • 2.
        In the given figure, \(AB \parallel EF\). If \(AB = 24\) cm, \(EF = 36\) cm and \(DA = 7\) cm, then \(AE\) equals

          • \(2.5\) cm
          • \(10.5\) cm
          • \(3.5\) cm
          • \(\frac{14}{3}\) cm

        • 3.
          In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


            • 4.
              PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.


                • 5.
                  If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

                    • \(4 \text{ cm}\)
                    • \(4\sqrt{2} \text{ cm}\)
                    • \(8 \text{ cm}\)
                    • \(2\sqrt{2} \text{ cm}\)

                  • 6.
                    The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

                      • 0
                      • 1
                      • 3
                      • 2

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