Math Ch 4 Class 12 Introduction to Analytic Geometry

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For a homogenous equation of degree ?, ? must be

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Two lines ?? and ?? with slopes ?? and ?? are parallel if

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Equation of line through (−?, ?) and having slope undefined is

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Equation of horizontal line through (−?, ?) is

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Equation of vertical line through (−?, ?) is

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A four sided polygon (quadrilateral) having two parallel and non-parallel sides is called

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If the equations of the sides of a triangle are given then the intersection of any two lines inpairs gives ________ the triangles.

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?? + ? + ? (? being a parameter) represents

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If three lines pass through one common point then the lines are called

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The point (−?, ?) lies ____ the line ?? + ?? − ? = ?

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The lines ?? + ? + ? = ? and ?? + ?? − ? = ? are

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The ? − ????????? ?? + ?? = ?? is

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The general equation of the straight line in two variables ? and ? is

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The slope of the line perpendicular to ?? + ?? + ? = ?

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The slope of the line ?? + ?? + ? = ? is

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If ? is the inclination of the line ? then ?−??/????=?−??/???? = ?(???)

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In the normal form ????? + ????? = ? the value of ? is

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The Normal form of the equation of the straight line is

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The two intercepts form of the equation of the straight line is

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The slope-intercept form of the equation of the straight line is

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If ? is the inclination of a line ? then it must be true that

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If all the sides of four sided polygon are equal but the four angles are not equal to ??° eachthen it is a

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? = ? is the straight line

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A line bisecting 2nd and 4th quadrants has inclination:

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If ? and ? have opposite signs then the point ?(?, ?) lies the quadrants

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The point where the angle bisectors of a triangle intersect is called_________ of the triangle.

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The centroid of a triangle divides each median in the ration of

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The point where the altitudes of a triangle intersect is called_________ of the triangle.

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The point where the medians of a triangle intersect is called_________ of the triangle.

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The straight line which passes through one vertex and perpendicular to opposite side iscalled:

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The straight line which passes through one vertex and though the mid-point of the oppositeside is called:

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If ? < 0, ? > 0 then the point ?(−?, −?) lies in the quadrant

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The point P in the plane that corresponds to the ordered pair (?, ?) is called:

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?? ? < 0, ? < 0 then the point ?(?, ?) lies in the quadrant

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If ?? + ?? + ? and ?? + ??? + ? = ? are parallel lines then ?

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Line passes through the point of intersection of two line ?? and ?? is

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. The coordinate ???? divide the whole plane into ________ equal parts.

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The perpendicular distance of a line ??? + ?? = ? from (?, ?) is:

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. If a straight line is parallel to ? − ???? its slope is

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. Altitudes of a triangle are:

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If line ? intersects ? − ???? at a point (?, ?) , then the ? − ????????? of the line ? is:

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Equation of ? − ???? is

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The lines represented by the equation ??^? + ???? + ??? = ? are coincident if

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If ?? and ?? are the slopes of tow orthogonal lines then:

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Let ?(?? , ??) not lying on the line ?: ?? + ?? + ? = ? then point P lies above if

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The point-slope form of the equation of straight line is

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The distance of the point (?, ?) from the ? − ???? is

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Every homogenous equation of second degree ??? + ??? + ??? = ? represents two straightlines

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. Two lines ??? + ??? + ?? = ? and ??? + ??? + ?? = ? are parallel if

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The lines lying in the same plane are called

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The lines represented by ??? + ???? + ??? = ? are orthogonal if

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The equation ?^? − ?? = ? represents two lines.

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The perpendicular distance of the line ?? + ?? + ?? = ? from the origin is

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The point ?(?, ?) in the 2nd quadrant if

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Every homogeneous equation of 2nd degree in two variables represents

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The slope of ? − ???? is

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The equation ???^? − ???? − ??^? = ? is homogeneous of degree

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Ali Durrani