Mathematics I

 
  • Pair of Straight Lines M112406

    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 […]

     
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  • Pair of Straight Lines M112404

    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. […]

     
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  • Pair of Straight Lines M112403

    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. […]

     
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  • Pair of Straight Lines M112402

    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 […]

     
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  • Pair of Straight Lines M112401

    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. […]

     
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