NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.2

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Jasmine Grover

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.2 is covered in this article with a detailed explanation. Chapter 1 Real Numbers Exercise 1.2 deals with the fundamental theorem of arithmetic. The 7 questions of the exercise cover the concept of factorization of composite numbers.

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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.
        The HCF of 960 and 432 is :

          • 48
          • 54
          • 72
          • 36

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

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

          • 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 the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

                  • \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \)
                  • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
                  • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} \)
                  • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)

                • 6.
                  If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

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