The word Logic is derived from the Greek word ‘Logos’ which means reason. Logic deals with the methods of reasoning. Logic is a process by which we arrive at a conclusion from known statements or assertions with the help of valid assumptions. The valid assumptions are known as laws of logic. The Greek philosopher and […]
Science > Mathematics > Pair of Straight Lines > Nature of Lines Represented by Joint Equation In this article, we shall study to predict the nature of lines using the joint equations of lines. Notes: If ax2 + 2hxy + by2= 0 is a joint equation of lines then the lines represented by joint equation […]
Science > Mathematics > Pair of Straight Lines > Separate Equations of Lines (Auxillary Equation Method) In this article, we shall study to find separate equations of lines from a combined or joint equation of pair of lines by auxiliary equation method. Algorithm: Check if lines exist. use the same method used in the case […]
Science > Mathematics > Pair of Straight Lines > Separate Equations of Lines (Factorization Method) In this article, we shall study to obtain separate equations of lines from a combined or joint equation of pair of lines by factorization method. Algorithm: Check if lines exist. use the same method used in the case to find […]
Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines When Point and Two Other Lines are Given In this article, we shall study to find a combined or joint equation of pair of lines when a point on the line and equations of two other lines are given. You Should Know […]
Science > Mathematics > Pair of Straight Lines > Joint Equation of Lines When Lines are Parallel to Axes In this article, we shall study to find a combined or joint equation of pair of lines when lines are parallel to coordinate axes. Algorithm: When line passes through (h, k) and is parallel to co-ordinate axes […]
Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines When Their Slopes are Given In this article, we shall study to find a combined or joint equation of pair of lines when the slopes of lines are given. Algorithm: Locate slopes m1 and m2 of the two lines. Use y = […]
Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines When Inclinations are Given In this article, we shall study to find a combined equation of pair of lines when the inclinations of lines are given. Algorithm: If θ is the inclination of a line, then its slope is given by m […]
Science > Mathematics > Pair of Straight Lines > Combined Equation of Lines when Separate Equations are Given In this article, we shall study to find a combined equation of pair of lines when a separate equation of each line is given. Algorithm: Write equations of lines in the form u = 0 and v […]
Science > Mathematics > Pair of Straight Lines > Homogeneous Equation of Pair of Straight Lines We have already studied the topic equation of a straight line. In this article, we shall study the concept of a homogeneous equation of pair of straight lines. Concept of Pair of Lines: Two lines l1, and l2 are said […]