# Mathematics I

## Pair of Straight Lines M112406

Type – I F When Point and Two Other Lines are Given Problems in RED colour are for Last Minute Revision (LMR) Notes : 1. Slope of ax + by + c = 0 is (b ≠0) i.e. 2. When two lines are parallel their slopes are equal. 3. When two lines are perpendicular product of their […]

## Pair of Straight Lines M112404

Type – I D When Slopes of Lines are Given Problems Shown in Red Colour are for Last Minute Revision (LMR) ALGORITHM : 1. Locate slopes m1 and m2 of the two lines. 2. Use y = mx form to find equations of the two lines. 3. Write equations of lines in the form u = 0 and v = 0. […]

## Pair of Straight Lines M112403

Joint Equation of Pair of Lines Type – I C When Lines are Forming Equilateral Triangle With x = k or y = k Problems shown in RED Colour are for Last Minute Revision (LMR) ALGORITHM : 1. Find angle made by the lines with positive direction of x-axis and calculate slopes m1 and m2 of the two lines. […]

## Pair of Straight Lines M112402

Type – I B When Angles Made by the Lines with X/Y axis are Given Problems shown in RED color are for Last Minute Revision (LMR) ALGORITHM: 1. If θ is the inclination of a line, then its slope is given by m = tan θ. 2. Find slopes m1 and m2 of the two lines. maths, mathematics, co-ordinate geometry 3. Use […]

## Pair of Straight Lines M112401

Type – I A When Separate Equations are Given Problems Shown in RED colour are for last minute revision (LMR) ALGORITHM: 1. Write equations of lines in the form u = 0 and v = 0. 2. Find u.v = 0. 3. Simplify the L.H.S. of joint equation. Examples for Practice Obtain the combined equation of the co-ordinate axes. […]