NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.1 Solutions are based on the following concepts:

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CBSE X Related Questions

  • 1.
    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

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

    • 2.
      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.


        • 3.
          The value of \(p\) for which roots of the quadratic equation \(x^{2} - px + 6 = 0\) are rational, is

            • \(1\)
            • \(-5\)
            • \(25\)
            • \(\sqrt{5}\)

          • 4.
            If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

              • 3
              • –3
              • –4
              • \(\pm 3\)

            • 5.
              Prove that :
              \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).


                • 6.
                  The HCF of 960 and 432 is :

                    • 48
                    • 54
                    • 72
                    • 36

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