NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1 Solutions

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CBSE X Related Questions

  • 1.
    The natural number 1 is :

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

    • 2.
      Prove that :
      \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


        • 3.
          The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :

            • $q - 9p$
            • $p - 9q$
            • $p + 9q$
            • $2p + 9q$

          • 4.
            The HCF of 960 and 432 is :

              • 48
              • 54
              • 72
              • 36

            • 5.
              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 \(\sqrt{3} = 1.73\))


                • 6.
                  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.

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