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CBSE - Class 10 > Mathematics > Quadratic Equations Worksheets

Free CBSE - Class 10 Mathematics - Quadratic Equations worksheets

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1.
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was $3$ more than twice the number of articles produced on that day. If the total cost of production on that day was ₹ $90$, find the number of articles produced and the cost of each article.
2.
Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (i) $2x^2 – 3x + 5 = 0$
3.
Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (ii) $3x^2 – 4\sqrt{3}x + 4 = 0$
4.
Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (iii) $2x^2 – 6x + 3 = 0$
5.
Find the values of $k$ for each of the following quadratic equations, so that they have two equal roots. (i) $2x^2 + kx + 3 = 0$
6.
Find the values of $k$ for each of the following quadratic equations, so that they have two equal roots. (ii) $kx (x – 2) + 6 = 0$
7.
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is $800$ $m^2$? If so, find its length and breadth.
8.
Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is $20$ years. Four years ago, the product of their ages in years was $48$.
9.
Is it possible to design a rectangular park of perimeter $80$ m and area $400$ $m^2$? If so, find its length and breadth.
10.
Check whether the following are quadratic equations : (i) $(x + 1)^2 = 2(x – 3)$
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Chapters in CBSE - Class 10 Mathematics

Pair of linear equations in two variable Worksheet Coordinate geometry Worksheet Arithmetic Progression Worksheet Real numbers Worksheet Polynomials Worksheet Applications of Trigonometry Worksheet Areas Related to Circles Worksheet Circles Worksheet Constructions Worksheet Introduction to Trigonometry Worksheet Probability Worksheet Statistics Worksheet Surface Areas and Volumes Worksheet Triangles Worksheet

Free Quadratic Equations Worksheets

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Top Concept Videos in Mathematics Quadratic Equations

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