NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Exercise 2.3 Solutions

CBSE X Related Questions

  • 1.
    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.

    • 2.
      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 $DE$.


        • 3.
          A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


            • 4.
              The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.


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


                    • 6.
                      If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

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

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