Sets, Relations and Functions
Combinatorics and Mathematical Induction
Binomial Theorem, Sequences and Series
Two Dimensional Analytical Geometry
Matrices and Determinants
Differential Calculus - Limits and Continuity
Differential Calculus - Differentiability and Methods of Differentiation
Introduction to Probability Theory
3.3.1 Combined equation of the pair of straight lines
3.3.2 Pair of straight lines passing through the origin
3.3.3 Angle between pair of straight lines passing through the origin
3.3.4 The condition for general second degree equation to represent the pair of straight
- Equation of the bisectors of the angle between the lines
- General form of Pair of Straight Lines
If the equation ax2 + 5xy – 6y2 + 12x + 5y + c = 0 represents a pair of perpendicular straight lines, find a and c.
Show that the equation 12x2 – 10xy + 2y2 + 14x – 5y + 2 = 0 represents a pair of straight lines and also find the separate equations of the straight lines.
Show that the pair of straight lines 4x2 + 12xy + 9y2 – 6x – 9y + 2 = 0 represents two parallel straight lines and also find the separate equations of the straight lines.
If m1 and m2 are the slopes of the pair of lines given by ax2 + 2hxy + by2 = 0, then the value of m1 + m2 is: