NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.4 Solutions

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CBSE X Related Questions

  • 1.
    Find the greatest number less than 10,000 which is exactly divisible by 48, 60 and 65.


      • 2.
        Prove that : \( \frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\text{cosec}^3 \theta}{\text{cosec}^2 \theta - 1} = \sec \theta \cdot \text{cosec} \theta (\sec \theta + \text{cosec} \theta) \)


          • 3.
            In the given figure, PA and PB are tangents to a circle centred at O. If \( \angle AOB = 130^\circ \), then \( \angle APB \) is equal to :

              • \( 130^\circ \)
              • \( 50^\circ \)
              • \( 120^\circ \)
              • \( 90^\circ \)

            • 4.
              The natural number 1 is :

                • a prime number.
                • a composite number.
                • prime as well as composite.
                • neither prime nor composite.

              • 5.
                In a class test, the sum of Anamika's marks obtained in Maths and Science is 30. Had she got 2 marks more in Maths and 3 marks less in Science, the product of the marks would have been 210. Find the marks she got in the two subjects.


                  • 6.
                    If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

                      • \(4 \text{ cm}\)
                      • \(4\sqrt{2} \text{ cm}\)
                      • \(8 \text{ cm}\)
                      • \(2\sqrt{2} \text{ cm}\)

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