NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1

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NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1 Solutions are based on Division of a Line Segment and Solved examples based on the concept. 

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CBSE X Related Questions

  • 1.
    A box contains 120 discs, which are numbered from 1 to 120. If one disc is drawn at random from the box, find the probability that
    (i) it bears a 2-digit number
    (ii) the number is a perfect square.


      • 2.
        The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

          • unique solution
          • two solutions
          • no solution
          • infinite number of solutions

        • 3.
          OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

            • \( \left(\frac{120}{7}\right)^\circ \)
            • \( 45^\circ \)
            • \( 60^\circ \)
            • \( 30^\circ \)

          • 4.

            Find the mean and mode of the following data:

            Class15--2020--2525--3030--3535--4040--45
            Frequency1210151175


              • 5.

                In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


                  • 6.

                    Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.

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