NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.6 Solutions

CBSE X Related Questions

  • 1.
    The value of \(p\) for which roots of the quadratic equation \(x^{2} - px + 6 = 0\) are rational, is

      • \(1\)
      • \(-5\)
      • \(25\)
      • \(\sqrt{5}\)

    • 2.
      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.


        • 3.
          If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

            • 3
            • –3
            • –4
            • \(\pm 3\)

          • 4.
            A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.


              • 5.
                A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.


                  • 6.
                    In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

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