NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.3 Solutions

CBSE X Related Questions

  • 1.
    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 \(AQ = QR\).


      • 2.
        Evaluate : \(\frac{3 \cos^2 30^{\circ} - 6 \csc^2 30^{\circ}}{\tan^2 60^{\circ}}\).


          • 3.
            In the adjoining figure, the slant height of the conical part is :

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

            • 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.
                  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.

                      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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