NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.3

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Jasmine Grover

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Exercise 1.3 is covered in this article with a detailed explanation. Chapter 1 Real Numbers Exercise 1.3 deals with proving that root p is irrational. The 3 questions of the exercise cover the concept of irrational numbers. 

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CBSE X Related Questions

  • 1.
    If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).


      • 2.
        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 :

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

        • 3.
          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.


            • 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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