NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.4

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CBSE X Related Questions

  • 1.
    In a trapezium \(ABCD\), \(AB \parallel DC\) and its diagonals intersect at \(O\). Prove that \[ \frac{OA}{OC} = \frac{OB}{OD} \]


      • 2.
        Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


          • 3.
            In \(\triangle ABC, DE || BC\). If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is
             △ABC,DE||BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1)

              • 1
              • \(\frac{1}{2}\)
              • --1
              • \(\frac{1}{3}\)

            • 4.
              Three coins are tossed together. The probability that at least one head comes up is

                • \(\dfrac{3}{8}\)
                • \(\dfrac{7}{8}\)
                • \(\dfrac{1}{8}\)
                • \(\dfrac{3}{4}\)

              • 5.

                In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


                  • 6.
                    If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

                      • 12 and 13
                      • 13 and 12
                      • 10 and 15
                      • 15 and 10

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