NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.1 Solutions

CBSE X Related Questions

  • 1.
    If 14th term of an A.P. is 4 and its 15th term is zero, then its first term is

      • –48
      • –56
      • 56
      • 48

    • 2.
      In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

      37(i) Find \(m\angle AOP\).


        • 3.
          PQ is tangent to the circle with centre O such that OP = 2OQ. m\(\angle\)OPQ is

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

          • 4.
            If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

              • \( \sqrt{3} \)
              • \( \frac{4}{\sqrt{3}} \)
              • \( \frac{\sqrt{3}}{2} \)
              • \( 1 \)

            • 5.
              Prove that : \(\sqrt{\frac{1 - \cos A}{1 + \cos A}} = \frac{\tan A}{\sec A + 1}\).


                • 6.
                  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) \(AD \times QS = BD \times PS\).

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