NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1

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Jasmine Grover

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.1 is covered in this article with a step by step explanation. Chapter 1 Real Numbers Exercise 1.1 covers basic concepts of divisibility of integers using Euclid’s division algorithm. Euclid’s division algorithm says that any positive integer a can be divided by another positive integer b in a way that the remainder will be smaller than b.

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CBSE X Related Questions

  • 1.
    PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.


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

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

            • 4.
              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 \(\sqrt{3} = 1.73\))


                • 5.
                  If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).


                    • 6.
                      The natural number 1 is :

                        • a prime number.
                        • a composite number.
                        • prime as well as composite.
                        • neither prime nor composite.

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