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Rectangular Matrix
A matrix M is called rectangular if, the number of rows of M the number of columns of M.
Square Matrix
A matrix M is called a square matrix if, the number of rows of M = the number of columns of M.
Row Matrix
A matrix M is called a row matrix if M has only one row.
Column Matrix
A matrix M is called a column matrix if M has only one column.
Null or Zero Matrix
A matrix M is called a null or zero matrix if each of its entries is 0.
Transpose of a Matrix
Let A be a matrix. The matrix A' is a new matrix which is called transpose of matrix A and is obtained by
interchanging rows of A into its respective columns (or columns into respective rows).
Symmetric Matrix
A square matrix M is called symmetric if M = M.
Negative of a Matrix
Let A be a matrix. Then its negative, -A is obtained by changing the signs I a the entries of A.
Skew Symmetric Matrix
A square matrix M 1s said to be skew symmetric if M = -N
Similar Triangles
Two (or more) triangles are called similar (symbol -) if they are equiangular and measures of their
corresponding sides are proportional.
Concurrent Lines
Three or more than three lines are said to be concurrent, if they all pass through the same point. The
common point is called the point of concurrency of the lines.
Incentre of a Triangle
The internal bisectors of the angles of a triangle meet at a point called the Incentre of the triangle.
Circumcentre of a Triangle
The point of concurrency of the three perpendicular bisectors of the sides of a triangle is called the
circumcentre of the triangle.
Median of a Triangle
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A line segment joining a vertex of a triangle to the mid-point of the opposite side is called a median of
the triangle.
Altitude of a Triangle
A line segment from a vertex of a triangle, perpendicular to the line containing the opposite site side, is
called an altitude of the triangle.
Orthocentre of a Triangle
The point of concurrency of the three altitudes of a A is called its orthocentre.
Collinear or Non-collinear Points
whenever two or more than two points happen to lie on the same straight line in the plane, they are
called collinear points with respect to that line, otherwise ney are called non-colinear.
EquilateralTriangle
If the lengths of all the three sides of a triangle are same, then the triangre s called an equilateral
triangle.
Isosceles Triangle
Isosceles triangle PQR is a triangle which has two of its sides of equal length while the third side has a
different length.
Right Triangle
A right triangle is that in which one of the angles has measure equal to 90".
Pythagoras Theorem
In a right angle triangle ABC,
IABI =IBCIH+ICAK, where LACB = 90°
Scalene Triangle
A triangle is called a scalene triangle if measures of all the three sides are different.
Square
A square is a closed figure in the plane formed by four non-collinear poin90"such that lengths of all sides
are equal and measure of each angle is 90°
Rectangle
A figure formed in the plane by four non-collinear points is called a rectangle
if,
Opposite sides are of equal measure.
Its opposite sides are parallel to each other

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Rectangular Matrix A matrix M is called rectangular if, the number of rows of M the number of columns of M. Square Matrix A matrix M is called a square matrix if, the number of rows of M = the number of columns of M. Row Matrix A matrix M is called a row matrix if M has only one row. Column Matrix A matrix M is called a column matrix if M has only one column. Null or Zero Matrix A matrix M is called a null or zero matrix if each of its entries is 0. Transpose of a Matrix Let A be a matrix. The matrix A' is a new matrix which is called transpose of matrix A and is obtained by interchanging rows of A into its respective columns (or columns into respective rows). Symmetric Matrix A square matrix M is called symmetric if M = M. Negative of a Matrix Let A be a matrix. Then its negative, -A is obtained by changing the signs I a the entries of A. Skew Symmetric Matrix A square matrix M 1s said to be skew symmetric if M = -N Similar Triangles Two (or more) triangles are called similar (symbol -) if they are equiangular and measures of their corresponding sides are proportional. Concurrent Lines Three or more than three lines are said to be concurrent, if they all pass through the same point. The common point is called the point of concurrency of the lines. Incentre of a Triangle The internal bisectors of the angles of a triangle meet at a point called the Incentre of the triangle. Circumcentre of a Triangle The point of concurrency of the three perpendicular bisectors of the sides of a triangle is called the circumcentre of the triangle. Median of a Triangle A line segment joining a vertex of a triangle to the mid-point of the opposite side is called a median of the triangle. Altitude of a Triangle A line segment from a vertex of a triangle, perpendicular to the line containing the opposite site side, is called an altitude of the triangle. Orthocentre of a Triangle The point of concurrency of the three altitudes of a A is called its orthocentre. Collinear or Non-collinear Points whenever two or more than two points happen to lie on the same straight line in the plane, they are called collinear points with respect to that line, otherwise ney are called non-colinear. EquilateralTriangle If the lengths of all the three sides of a triangle are same, then the triangre s called an equilateral triangle. Isosceles Triangle Isosceles triangle PQR is a triangle which has two of its sides of equal length while the third side has a different length. Right Triangle A right triangle is that in which one of the angles has measure equal to 90". Pythagoras Theorem In a right angle triangle ABC, IABI =IBCIH+ICAK, where LACB = 90° Scalene Triangle A triangle is called a scalene triangle if measures of all the three sides are different. Square A square is a closed figure in the plane formed by four non-collinear poin90"such that lengths of all sides are equal and measure of each angle is 90° Rectangle A figure formed in the plane by four non-collinear points is called a rectangle if, ❖ Opposite sides are of equal measure. ❖ Its opposite sides are parallel to each other Name: Description: ...
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