NCERT Solutions for Class 10 Maths Chapter 10 Circles Exercise 10.1

CBSE X Related Questions

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


      • 2.
        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.


          • 3.
            Find the greatest number less than 10,000 which is exactly divisible by 48, 60 and 65.


              • 4.
                In the figure given above, \(\triangle ABC \sim \triangle XYZ\), then find the values of \(x\) and \(y\).


                  • 5.
                    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

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

                    • 6.
                      A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If probability of getting a green ball is \(3/5\), then find the number of yellow balls.

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