NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.1 Solutions

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CBSE X Related Questions

  • 1.
    Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


      • 2.
        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.


          • 3.
            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)


              • 4.
                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 \( AC \).


                  • 5.
                    Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.


                      • 6.

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

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

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