NCERT Solutions for Class 9 Maths Chapter 9 Exercise 9.4 Solutions

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NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles Exercise 9.4 Solutions are based on parallelograms and triangles that have the same base and same parallel lines. It also covers the median of a triangle that divides into two triangles of equal areas.

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Exercise Solutions of Class 9 Maths Chapter 9 Areas Of Parallelograms And Triangles 

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CBSE X Related Questions

  • 1.
    In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).


      • 2.
        PQ is tangent to the circle with centre O such that OP = 2OQ. m\(\angle\)OPQ is

          • 15\(^\circ\)
          • 60\(^\circ\)
          • 45\(^\circ\)
          • 30\(^\circ\)

        • 3.
          Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

          38(i) Represent the above situation in terms of a pair of linear equations in two variables.


            • 4.
              In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

              35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)


                • 5.
                  If 14th term of an A.P. is 4 and its 15th term is zero, then its first term is

                    • –48
                    • –56
                    • 56
                    • 48

                  • 6.
                    Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :

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