ALGEBRA

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Any first degree equation containing two variables x and y is called a in two variables.

A linear equation in two variables of the form ax + by +c = 0 , represents a .

A linear equation in three variables of the form ax + by+ cz +d = 0 , represents a .

An expression is called a expression if it can be written in the form p(x)/q(x) where p(x) and q(x) are polynomials .

A value that makes a rational expression (in its lowest form) undefined is called an .

The of a given positive real number is another number which when multiplied with itself is the given number.

An expression of degree 2 is called a .

The trajectory followed by an object (say, a ball) thrown upward at an angle gives a curve known as a .

A parabola is symmetric with respect to a line called the .

The point of intersection of the parabola and the axis of symmetry is called the .

The graph of any second degree polynomial gives a curve called “”.

If the graph of the given quadratic equation intersect the X axis at two distinct points, then the given equation has roots.

If the graph of the given quadratic equation touch the X axis at only one point, then the given equation has only one root which is same as saying roots.

If the graph of the given equation does not intersect the X axis at any point then the given equation has root.

A matrix is a rectangular array of elements. The horizontal arrangements are called
and vertical arrangements are called .

A matrix is said to be a column matrix if it has only one column and any number of rows. It is also called as a .

A matrix in which the number of rows is equal to the number of columns is called a .

A square matrix, all of whose elements, except those in the leading diagonal are zero is called a .

A diagonal matrix in which all the leading diagonal elements are same is called a .

A square matrix in which elements in the leading diagonal are all “1” and rest are all zero is called an .

A matrix is said to be a if all its elements are zero.

If A is a matrix, the matrix obtained by interchanging the rows and columns of A is called if .

A square matrix in which all the entries above the leading diagonal are zero is called a matrix.