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.

    In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


      • 2.
        Find length and breadth of a rectangular park whose perimeter is \(100 \, \text{m}\) and area is \(600 \, \text{m}^2\).


          • 3.
            Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
            (i) $pqr + 1$ is a composite number
            (ii) $pqr + 1$ is a prime number


              • 4.
                Solve the following pair of linear equations by graphical method : \(2x + y = 9\) and \(x - 2y = 2\).


                  • 5.
                    In \(\triangle ABC, DE || BC\). If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is
                     △ABC,DE||BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1)

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

                    • 6.

                      There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.

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