NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.1

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NCERT Solutions for Class 10 Maths Chapter 6 Triangles Exercise 6.1 is provided in this article. Class 10 Maths Chapter 6 Triangles cover important concepts like the similarity of triangles, congruence of triangles and Pythagoras theorem. Chapter 6 Triangles Exercise 6.1 mainly includes questions based on the concept of similarity between two figures. 

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CBSE X Related Questions

  • 1.
    PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

      • \(a^2 + (a + 2)^2 = (2b)^2\)
      • \(b^2 = a + 4\)
      • \(2a^2 + 1 = b^2\)
      • \(b^2 = a + 1\)

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


        • 3.
          Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
          Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

            • 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.

          • 4.
            An ice-cream cone of radius \(r\) and height \(h\) is completely filled by two spherical scoops of ice-cream. If radius of each spherical scoop is \(\frac{r}{2}\), then \(h : 2r\) equals

              • \(1 : 8\)
              • \(1 : 2\)
              • \(1 : 1\)
              • \(2 : 1\)

            • 5.
              Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

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

              • 6.
                Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.

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