NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Exercise 2.4 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.
        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 adjoining figure, the slant height of the conical part is :

              • 4 cm
              • 7 cm
              • 5 cm
              • 25 cm

            • 4.
              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.


                • 5.
                  Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
                  Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

                    • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                    • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                    • Assertion (A) is true, but Reason (R) is false.
                    • Assertion (A) is false, but Reason (R) is true.

                  • 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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