Mathematics

Are you confused about the line segment, line, and ray? This article helps you by giving plenty of information. This will have the definitions of the Line segment, Line, and Ray, Differences between a line, a line segment, ray. By knowing…

Variables and Constants in AlgebraLITERALS 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…

CONSTRUCTION OF A CIRCLEA 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…

Nature Of The Roots Of A Quadratic EquationThe 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,…

Nature Of The Roots Of A Quadratic EquationThe 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,…

Relationship Between Zeros And Coefficients Of A PolynomialConsider 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 = (frac {…

Decimal Representation Of Rational NumbersExample 1:    Express (frac { 7 }{ 8 }) in the decimal form by long division method. Solution:    We have, ∴ (frac { 7 }{ 8 }) = 0.875Example 2:    Convert (frac { 35 }{ 16 }) into decimal form by…

What is a Ratio and Proportion RATIO In our day-to-day life, we compare one quantity with another quantity of the same kind by using the ‘method of subtraction’ and ‘method of division’. Example: The height of Seema is 1 m 67 cm and that…

Factorization Of Polynomials Using Factor TheoremFactor Theorem:If p(x) is a polynomial of degree n  1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x – a is a factor of p(x). Proof: By…

Factorization Of Polynomials Using Factor TheoremFactor Theorem:If p(x) is a polynomial of degree n  1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x – a is a factor of p(x). Proof: By…