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Coordinate Geometry-I: Quick Revision of Formulae for IIT JEE, UPSEE & WBJEE

Dec 29, 2016 15:35 IST

    When exams are round the corner then it is not possible to revise complete books so we have come up with unit wise formulas and important terms. Once you have gone through chapters thoroughly and understood it well there is no need to study it again and again. You can only revise important formulas and terms which will save your precious time.

    Find revision notes for unit Coordinate Geometry-I in this article. This unit includes chapters – Straight lines and Circles. All formulae and important terms from these chapters are covered in this revision notes. In UPSEE and WBJEE where most of questions are asked directly on formulae, this quick revision note is very important.

    UPSEE 2017 Solved Sample Paper Set-1

    Straight Lines

    • Distance between the points P (x1y1) and Q (x2, y2) is

              Coordinate Geometry

    • The coordinates of a point dividing the line segment joining the points (x1y1) and

                Q (x2, y2) internally, in the ratio m: n are

                Coordinate Geometry

    • Area of the triangle whose vertices are (x1y1), (x2y2)and Q (x3, y3) is

                Coordinate Geometry

    • The angle (say) θ made by the line l with positive direction of x-axis and measured anti clockwise is called the inclination of the line and tan θ is called the slope of line, denoted by m.
    • Mathematically,

                Coordinate Geometry

    • Two non vertical lines l1 and l2 are parallel if and only if their slopes are equal.
    • Two  non-vertical  lines  are  perpendicular  to  each  other  if  and  only  if their  slopes  are  negative  reciprocals  of  each  other
    • The acute angle (say θ) between lines L1 and L2 with slopes m1 and m2, respectively, is given by

                Coordinate Geometry

    • If two lines having the same slope pass through a common point, then two lines will coincide.
    • Equation of a horizontal line line L is either y = a or y = −a
    • Equation  of  a  vertical  line  at  a  distance  b  from  the  y-axis  is  either x = b or x = −b

    JEE Main Mathematics Solved Sample Paper Set-VII

    • Point-slope  form of a line

                The equation of a line passing through point (xy) and have slope m is

                Coordinate Geometry

    • Two-point form of line

                The equation of a line passing through points (x1y1) and (x2, y2) is


    • Slope-intercept form of line

                The equation of a line with slope m and c as y-intercept is

                 y = mx + c

    • Intercept  form of a line

                The equation of the line making intercepts a and b on x-and y-axis, respectively, is

               Coordinate Geometry

    • Normal  form of a line

                The equation of the line having normal distance p from the origin and angle θ which the normal makes with the positive direction of x-axis is given by

                x cosθ + y sinθ = p

    • The perpendicular distance (d) of a line Ax + By+ C = 0 from a point (x1, y1) is given by

               Coordinate Geometry

    • The distance d between two parallel lines y = mx + c1 and y = mx + c2 is

                Coordinate Geometry

    JEE Main Physics Solved Sample Paper Set-VII


    • A circle is the set of all points in a plane that are equidistant from a fixed point in the plane.
    • The fixed point is called the centre of the circle.
    • The distance from the centre to a point on the circle is called the radius of the circle.

                The required equation of the circle with centre at (h, k) and radius r is

                (xh)2 + (yk)2 = r2 

       Coordinate Geometry

        Coordinate Geometry


    JEE Main Chemistry Solved Sample Paper Set-VII

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