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 […]
Science > Mathematics > Algebra > Logarithms > Use of the Laws of Logarithms Set – I In the last article, we have studied the laws of logarithms and their proofs. In this article, we shall study to solve problems on laws of logarithms (law of product, Law of quotient, Law of exponent, etc.) to […]
Science > Mathematics > Algebra > Logarithms > Problems Based on Definition of Logarithms In the last article, we have studied the concept of logarithm and interconversion between exponential form and logarithmic form. In this article, we shall study to solve problems based on the definition of logarithm. Definition of Logarithm: If m = ax, […]
Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – V (Solve for x) In the last article, we shall study problems based on the change of base rule. In this article, we shall study the use of definition and the laws of logarithms to find the value of ‘x’ […]
In this article, we shall study to solve problems on logarithms in which a relation is given using which we have to prove another relation. Laws of Logarithms Log a + Log b = Log (ab) (Law of Product) Log a – log b = log (a/b) b ≠ 0 (law of Quotient) Log am […]
Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – V (Change of Base Rule) In the next article, we shall study to solve more problems on the laws of logarithms to prove given logarithmic relation. In this article, we shall study problems based on the change of base rule. […]