NCERT Solutions for Class 9 Maths Chapter 6 Exercise 6.1 Solutions

CBSE X Related Questions

  • 1.
    A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

      • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
      • \(314\) \(\text{cm}^{2}\)
      • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
      • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

    • 2.
      Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
      Reason (R) : Sum of the any two irrational numbers is always irrational.

        • 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 Assertion (A).
        • Assertion (A) is true, but Reason (R) is false.
        • Assertion (A) is false, but Reason (R) is true.

      • 3.
        Solve the linear equations \(3x + y = 14\) and \(y = 2\) graphically.


          • 4.
            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

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

            • 5.
              Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.


                • 6.
                  For any natural number n, \( 5^n \) ends with the digit :

                    • 0
                    • 5
                    • 3
                    • 2

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