NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.6

CBSE X Related Questions

  • 1.
    In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.


      • 2.
        A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.


          • 3.
            In a class test, the sum of Anamika's marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.


              • 4.
                In the given figure, \(AB \parallel EF\). If \(AB = 24\) cm, \(EF = 36\) cm and \(DA = 7\) cm, then \(AE\) equals

                  • \(2.5\) cm
                  • \(10.5\) cm
                  • \(3.5\) cm
                  • \(\frac{14}{3}\) cm

                • 5.
                  In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


                    • 6.
                      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

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

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