NCERT Solutions for Class 9 Maths Chapter 7 Triangles Exercise 7.4 Solutions

CBSE X Related Questions

  • 1.
    For any natural number n, \( 5^n \) ends with the digit :

      • 0
      • 5
      • 3
      • 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.
        The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :

          • 0
          • 1
          • 3
          • 2

        • 4.
          Prove that: \(\frac{\sec^3 \theta}{\sec^2 \theta - 1} + \frac{\csc^3 \theta}{\csc^2 \theta - 1} = \sec \theta \cdot \csc \theta (\sec \theta + \csc \theta)\)


            • 5.
              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

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

              • 6.
                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

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

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