NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1

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NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1 Solutions are based on Division of a Line Segment and Solved examples based on the concept. 

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CBSE X Related Questions

  • 1.
    If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

      • \(4 \text{ cm}\)
      • \(4\sqrt{2} \text{ cm}\)
      • \(8 \text{ cm}\)
      • \(2\sqrt{2} \text{ cm}\)

    • 2.
      If \( \alpha \) and \( \beta \) are two zeroes of a polynomial \( f(x) = px^2 - 2x + 3p \) and \( \alpha + \beta = \alpha\beta \), then value of p is :

        • \( -\frac{2}{3} \)
        • \( \frac{2}{3} \)
        • \( \frac{1}{3} \)
        • \( -\frac{1}{3} \)

      • 3.
        Which of the following graphs represents a polynomial with both zeroes being positive?


        • 4.
          Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

            • 34
            • 43
            • 38.5
            • 41.5

          • 5.
            If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of k is

              • \(-2\)
              • \(\sqrt{\frac{8}{3}}\)
              • \(1\)
              • \(2\)

            • 6.
              In the given figure, $PQ$ is tangent to the circle with centre $O$. $S$ is a point on the circle such that $\angle SQT = 55^\circ$. The $m\angle QPS$ is

                • $55^\circ$
                • $20^\circ$
                • $35^\circ$
                • $70^\circ$

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