NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.3 Solutions

CBSE X Related Questions

  • 1.
    Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.


      • 2.
        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.


          • 3.
            If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

              • $x^2 + 5x - 4$
              • $(x + 3) (-x + 8)$
              • $a(x^2 + 5x - 24)$
              • $x^2 - 24$

            • 4.
              In the given figure, point D divides the side BC of $\Delta ABC$ in the ratio $1 : 2$. Find length AD.


                • 5.
                  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.


                    • 6.
                      A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

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