Chapter 4 · Quadratic Equations

NCERT Class 10 Maths Exercise 4.1

All 2 questions of NCERT Class 10 Maths Exercise 4.1 (Quadratic Equations), in the book's order, each with its answer and a step-by-step solution.

1. Q1
   Check whether the ​following ​are quadratic ​equations: ​

   1. (i)$(x+1{)}^2=2(x-3)$ ​
   2. (ii)$x^2-2x=(-2)(3-x)$
   3. (iii)$(x-2)(x+1)=(x-1)(x+3)$ ​
   4. (iv)$(x-3)(2x+1)=x(x+5)$ ​
   5. (v)$(2x-1)(x-3)=(x+5)(x-1)$
   6. (vi)$x^2+3x+1=(x-2{)}^2$
   7. (vii)$(x+2{)}^3=2x(x^2-1)$
   8. (viii)$x^3-4x^2-x+1=(x-2{)}^3$
   Show answer

   Quadratic: (i), (ii), (iv), (v), (viii). Not quadratic: (iii) And (vi) are linear, (vii) Is cubic.

   Step-by-step solution →
2. Q2
   Represent the following ​situation in the form ​of ​a quadratic equation: (i) The area of a rectangular ​plot is 528 m${}^2$. The ​length of the plot (in metres) is one more than ​twice its breadth. We need ​to find the length and breadth of the ​plot.
   Show answer

   $2x^2+x-528=0$, where $x$ is the breadth of the plot in metres.

   Step-by-step solution →