NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.6 Solutions

CBSE X Related Questions

  • 1.
    Prove that :
    \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


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


              • 4.
                Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


                  • 5.
                    The HCF of 960 and 432 is :

                      • 48
                      • 54
                      • 72
                      • 36

                    • 6.
                      The natural number 1 is :

                        • a prime number.
                        • a composite number.
                        • prime as well as composite.
                        • neither prime nor composite.

                      Comments


                      No Comments To Show