NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.1 Solutions

CBSE X Related Questions

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


      • 2.
        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.


          • 3.
            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.


              • 4.
                If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

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

                • 5.
                  Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


                    • 6.
                      The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

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