NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.5

CBSE X Related Questions

  • 1.
    Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.


      • 2.
        If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

          • $x^2 + 5x - 4$
          • $(x + 3) (-x + 8)$
          • $a(x^2 + 5x - 24)$
          • $x^2 - 24$

        • 3.
          Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.


            • 4.
              Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
              Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.

                • 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.

              • 5.
                In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.


                  • 6.
                    Two dice are rolled together. The probability of getting an outcome $(x, y)$ where $x \gt y$, is

                      • $\frac{5}{12}$
                      • $\frac{5}{6}$
                      • $1$
                      • $0$

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