NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.5

CBSE X Related Questions

  • 1.
    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

    • 2.
      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.


        • 3.
          Find the H.C.F. and L.C.M. of 1530 and 2040.


            • 4.
              In the given figure, PA and PB are tangents to a circle centred at O. If \( \angle AOB = 130^\circ \), then \( \angle APB \) is equal to :

                • \( 130^\circ \)
                • \( 50^\circ \)
                • \( 120^\circ \)
                • \( 90^\circ \)

              • 5.
                D is the mid-point of side BC of \(\triangle ABC\). CE and BF intersect at O, a point on AD. AD is produced to G such that \(OD = DG\). Prove that OBGC is a parallelogram.


                  • 6.
                    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.

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