NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.5

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Jasmine Grover

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CBSE X Related Questions

  • 1.
    Solve the linear equations \(3x + y = 14\) and \(y = 2\) graphically.


      • 2.
        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

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

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


            • 4.
              Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

                • \(2\pi r^3\)
                • \(3\pi r^3\)
                • \(5\pi r^3\)
                • \(4\pi r^3\)

              • 5.
                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.

                • 6.
                  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 \(\pi = 3.14\))

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

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