Mathematics Chapter 4: Introduction to Analytic Geometry – Class 12 Overview
Chapter 4, Introduction to Analytic Geometry, is an important topic in Class 12 Mathematics and is essential for students preparing for competitive entry tests like NUST, ECAT, UET, NTS, as well as FSC board exams. This chapter introduces the coordinate system, distance formula, section formula, slope of a line, and basic concepts of straight lines. Understanding analytic geometry helps students connect algebra with geometry and solve coordinate-based problems effectively.
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The point where the medians of a triangle intersect is called_________ of the triangle.
The point where the angle bisectors of a triangle intersect is called_________ of the triangle.
If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a
The point P in the plane that corresponds to the ordered pair (?, ?) is called:
The point where the altitudes of a triangle intersect is called_________ of the triangle.
?? ? < 0, ? < 0 then the point ?(?, ?) lies in the quadrant
Line passes through the point of intersection of two line ?? and ?? is
If ? 0 then the point ?(−?, −?) lies in the quadrant
A line bisecting 2nd and 4th quadrants has inclination:
The straight line which passes through one vertex and perpendicular to opposite side is
called:
If three lines pass through one common point then the lines are called
The lines lying in the same plane are called
? = ? is the straight line
Every homogeneous equation of 2nd degree in two variables represents
If the equations of the sides of a triangle are given then the intersection of any two lines in
pairs gives ________ the triangles.
The point where the angle bisectors of a triangle intersect is called_________ of the triangle.
The point P in the plane that corresponds to the ordered pair (?, ?) is called:
A line bisecting 2nd and 4th quadrants has inclination:
The straight line which passes through one vertex and though the mid-point of the opposite
side is called:
In the normal form, ????? + ????? = ? the value of ? is
The point-slope form of the equation of straight line is
The straight line which passes through one vertex and perpendicular to opposite side is
called:
The centroid of a triangle divides each median in the ration of
If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a
The slope-intercept form of the equation of the straight line is
A four sided polygon (quadrilateral) having two parallel and non-parallel sides is called
. Altitudes of a triangle are:
The two intercepts form of the equation of the straight line is
The point where the altitudes of a triangle intersect is called_________ of the triangle.
The straight line which passes through one vertex and though the mid-point of the opposite
side is called:
If ? and ? have opposite signs then the point ?(?, ?) lies the quadrants
The centroid of a triangle divides each median in the ration of
The point where the medians of a triangle intersect is called_________ of the triangle.
The Normal form of the equation of the straight line is
Importance of Analytic Geometry for Entry Tests and Board Exams
Mastering Analytic Geometry enhances logical reasoning, spatial understanding, and problem-solving skills. Students can efficiently solve questions related to points, lines, slopes, and coordinate geometry formulas. Regular practice strengthens conceptual clarity and ensures confidence in both entry test MCQs and FSC board exam questions.
PLS Academy Chapter-Wise Mathematics Preparation
PLS Academy provides comprehensive chapter-wise study material for Introduction to Analytic Geometry with clear explanations, solved examples, and exam-focused exercises. With structured guidance and topic-wise practice, students can master coordinate geometry concepts, improve problem-solving techniques, and achieve high scores in both entry tests and FSC board exams.
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