NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.2

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NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.2 Solutions are based on Construction of Tangents to a Circle. 

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CBSE X Related Questions

  • 1.
    The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
     BC touches the circle at D such that BD = 6 cm


      • 2.
        The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

          • unique solution
          • two solutions
          • no solution
          • infinite number of solutions

        • 3.

          Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.


            • 4.
              Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]


                • 5.

                  Two identical cones are joined as shown in the figure. If radius of base is 4 cm and slant height of the cone is 6 cm, then height of the solid is

                    • 8 cm
                    • \(4\sqrt{5}\) cm
                    • \(2\sqrt{5}\) cm
                    • 12 cm

                  • 6.
                    The number of red balls in a bag is three more than the number of black balls. If the probability of drawing a red ball at random from the given bag is $\dfrac{12}{23}$, find the total number of balls in the given bag.

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