NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.3 Solutions

CBSE X Related Questions

  • 1.
    If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).


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

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

        • 3.
          If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).


            • 4.
              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.


                • 5.
                  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.


                    • 6.
                      \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

                        • \(\frac{21}{4} \text{ cm}\)
                        • \(\frac{28}{3} \text{ cm}\)
                        • \(\frac{12}{7} \text{ cm}\)
                        • \(5.5 \text{ cm}\)

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