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

CBSE X Related Questions

  • 1.
    In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
    (i) Name the quadrilateral MQBN. (1)
    (ii) Is MN parallel to PA? Justify your answer. (1)
    (iii) Find length TB. (1)
    (iv) Find length MN. (2)


      • 2.
        Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


          • 3.

            Which of the following sequence is \(\textit{not }\)an A.P. ?
             

              • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
              • \( -1.2, -3.2, -5.2, -7.2, \dots \)
              • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
              • \( 1^2, 3^2, 5^2, 7^2, \dots \)

            • 4.
              The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


                • 5.
                  To protect plants from heat, a shed of iron rods covered with green cloth is made. The lower part of the shed is a cuboid mounted by semi-cylinder as shown in the figure. Find the area of the cloth required to make this shed, if dimensions of the cuboid are \(14 \text{ m} \times 25 \text{ m} \times 16 \text{ m}\).


                    • 6.
                      In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).

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