NCERT Solutions for Class 9 Maths Chapter 1 Exercise 1.3 Solutions

CBSE X Related Questions

  • 1.
    Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


      • 2.
        Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
        Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

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

        • 3.

          Which of the following sequence is \(\textit{not }\)an A.P. ?
           

            • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
            • \( -1.2, -3.2, -5.2, -7.2, \dots \)
            • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
            • \( 1^2, 3^2, 5^2, 7^2, \dots \)

          • 4.
            If the median of the following distribution is 32.5, then find the values of x and y.


              • 5.
                In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).


                  • 6.
                    The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

                      • \(2:5\)
                      • \(1:2\)
                      • \(2:1\)
                      • \(5:2\)

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