Variables and Constants in Algebra LITERALS OR VARIABLES The letters used to represent numbers or some other quantities in general are called literal numbers or simply literals. Literals can take any value. They are also called variables. For example, Rohan borrowed x = Rs. 50 from Suresh; Mona got y = 16 candies. Hence, x and y denote numbers and are called literal … [Read more...] about Variables and Constants in Algebra

# Mathematics

## How do you Draw a Circle With a Radius of 3.5cm

CONSTRUCTION OF A CIRCLE A circle is the path covered by a point which moves in such a way that its distance from a fixed point always remains constant. The fixed point is called the centre and the constant distance is called the radius of the circle. Hence, a circle can be drawn if its centre and radius are known. Construction: Draw a circle of radius 3.5 cm. Step 1: … [Read more...] about How do you Draw a Circle With a Radius of 3.5cm

## Nature Of The Roots Of A Quadratic Equation

Nature Of The Roots Of A Quadratic Equation The nature of the roots depends on the value of b2 – 4ac. bx2 – 4ac is called the discriminant of the quadratic equation ax2 + bx + c = 0 and is generally, denoted by D. ∴ D = b2 – 4ac If D > 0, i..e., b2 – 4ac > 0, i.e., b2 – 4ac is positive; the roots are real and unequal. Also, (i) If b2 – 4ac is a perfect square, the … [Read more...] about Nature Of The Roots Of A Quadratic Equation

## Relationship Between Zeros And Coefficients Of A Polynomial

Relationship Between Zeros And Coefficients Of A Polynomial Consider quadratic polynomial P(x) = 2x2 – 16x + 30. Now, 2x2 – 16x + 30 = (2x – 6) (x – 3) = 2 (x – 3) (x – 5) The zeros of P(x) are 3 and 5. Sum of the zeros = 3 + 5 = 8 = = Product of the zeros = 3 × 5 = 15 = = So if ax2 + bx + c, a ≠ 0 is a quadratic polynomial and α, β are two zeros of polynomial … [Read more...] about Relationship Between Zeros And Coefficients Of A Polynomial

## Decimal Representation Of Rational Numbers

Decimal Representation Of Rational Numbers Example 1: Express in the decimal form by long division method. Solution: We have, ∴ = 0.875 Example 2: Convert into decimal form by long division method. Solution: We have, Example 3: Express in the decimal form. Solution: We have, Example 4: Express in decimal form by long division … [Read more...] about Decimal Representation Of Rational Numbers