Q1MathsUnit 10: Co-ordinate Geometry
n the given figure, which of the
following is a line of symmetry?
Mathematics · JEE
Straight line: Various forms of equations of a line, intersection of lines, angles between two lines Concepts for JEE
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Concept explainer
Straight line: Various forms of equations of a line, intersection of lines, angles between two lines is a core JEE Main Mathematics subtopic under Co-ordinate Geometry. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.
Key points
- Understand the definition and scope of Straight line: Various forms of equations of a line, intersection of lines, angles between two lines in the JEE syllabus
- Memorise key formulas and standard results linked to Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
- Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
JEE tips
- Revise Straight line: Various forms of equations of a line, intersection of lines, angles between two lines with a one-page formula sheet before attempting mixed tests
- After each practice set, log mistakes specific to Straight line: Various forms of equations of a line, intersection of lines, angles between two lines and reattempt after 48 hours
Common trap
Students often rush Straight line: Various forms of equations of a line, intersection of lines, angles between two lines questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.
Syllabus context
Part of Co-ordinate Geometry in JEE Main Mathematics.
- Cartesian system of rectangular coordinates in a plane
- Distance formula, sections formula, locus and its equation
- The slope of a line, parallel and perpendicular lines
- Intercepts of a line on the co-ordinate axis
- Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
- Conditions for concurrence of three lines, the distance of a point from a line
- Co-ordinate of the centroid, orthocentre and circumcentre of a triangle
- Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
- Equation of a circle when the endpoints of a diameter are given
- Points of intersection of a line and a circle with the centre at the origin
- Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms
Free sample questions
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Q2MathsUnit 10: Co-ordinate Geometry
The lengths of the perpendicular from
the points
and to the line
form
are in
Q3MathsUnit 10: Co-ordinate Geometry
In the triangle is parallel to
Find the length of and
Q4MathsUnit 10: Co-ordinate Geometry
For a point in the plane, let and
(P) be the distances of the point
from the lines and
respectively. The area of the region consisting of all points P lying in the first quadrant of the plane and
satisfying is
Q5MathsUnit 10: Co-ordinate Geometry
Solve graphically, the following pairs of equations:
Q6MathsUnit 10: Co-ordinate Geometry
In the given figure Find if
all measurements are indicated in
centimeter.
Q7MathsUnit 10: Co-ordinate Geometry
ABCD is a quadrilateral. If and bisect each other then ABCD must be a
Q8MathsUnit 10: Co-ordinate Geometry
The area of triangle formed by the lines
and the line
is
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Popular questions in Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
- Which equation represents the line that passes through the point (-1,4) and is parallel to the \( y \) -axis?…
- Solve graphically, the following pairs of equations: \( 2 x+y=23 \) \( 4 x-y=19 \)…
- Classify the following pair of line as coincident, parallel or intersecting \( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}+…
- If the points with position vectors \( 60 \hat{i}+ \) \( \mathbf{3} \hat{\mathbf{j}}, \mathbf{4 0} \hat{\mathbf{i}}-\mat…
- Which equation represents the line that passes through the point (-1,4) and is parallel to the \( y \) -axis?…
- Find the slope and \( y \) -intercept of the line \( \boldsymbol{x}-\boldsymbol{y}=\mathbf{3} \)…
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