NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.6 Solutions

CBSE X Related Questions

  • 1.
    PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If \(OP = 13\) cm, then find the length AB and PA.


      • 2.
        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.


          • 3.
            Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).


              • 4.

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

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

                • 5.
                  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)


                    • 6.
                      Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).

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