NCERT Solutions for Class 9 Maths Chapter 11 Constructions Exercise 11.1 Solutions

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NCERT Solutions for Class 9 Maths Chapter 11 Exercise 11.1 Solutions are based on the concept of shapes and their individual constructions.

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Exercise Solutions of Class 9 Maths Chapter 11 Constructions

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


              • 4.
                \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

                  • \(\frac{21}{4} \text{ cm}\)
                  • \(\frac{28}{3} \text{ cm}\)
                  • \(\frac{12}{7} \text{ cm}\)
                  • \(5.5 \text{ cm}\)

                • 5.
                  If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

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

                  • 6.
                    A kite is flying at a height of \(60 \text{ m}\) above the ground level. Ravi, standing at the roof of the house is holding the string straight and observes the angle of elevation of kite as \(30^{\circ}\). From the bottom of the same building, the angle of elevation of kite is \(45^{\circ}\). Find the length of the string and height of roof from the ground. (Use \(\sqrt{3} = 1.73\))

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