NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.4

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Jasmine Grover

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CBSE X Related Questions

  • 1.
    A circle centered at (2, 1) passes through the points A(5, 6) and B(-3, K). Find the value(s) of K. Hence find length of chord AB.


      • 2.
        In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.


          • 3.
            The HCF of 960 and 432 is :

              • 48
              • 54
              • 72
              • 36

            • 4.
              \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

                • \(\frac{21}{4} \text{ cm}\)
                • \(\frac{28}{3} \text{ cm}\)
                • \(\frac{12}{7} \text{ cm}\)
                • \(5.5 \text{ cm}\)

              • 5.
                If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

                  • \( \frac{a_1}{a_2} \neq \frac{b_1}{b_2} \)
                  • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)
                  • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} \)
                  • \( \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} \)

                • 6.
                  If \( \alpha, \beta \) are the zeroes of the quadratic polynomial \( px^2 + qx + r \), then find the value of \( \alpha^3\beta + \beta^3\alpha \).

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