NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1 Solutions

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CBSE X Related Questions

  • 1.
    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.


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


              • 4.
                An arc of length $2.2\text{ cm}$ subtends an angle $\theta$ at the centre of the circle with radius $2.8\text{ cm}$. The value of $\theta$ is

                  • $50^\circ$
                  • $60^\circ$
                  • $45^\circ$
                  • $30^\circ$

                • 5.
                  In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.


                    • 6.
                      Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
                      Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

                        • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                        • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                        • Assertion (A) is true, but Reason (R) is false.
                        • Assertion (A) is false, but Reason (R) is true.

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