EASY
JEE Main
IMPORTANT
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The condition that the equation lx+my+n=0 represents the equation of a straight line in the normal form, is

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Important Questions on Straight Lines

MEDIUM
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 3
In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are (1 ,  2) and (2 ,  1), respectively. If the equation of the line AB is y=2x, then the equation of the line AC is
MEDIUM
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 4
If the coordinates of the points A, B and C are (-1, 5), (0, 0) and (2, 2), respectively, and D is the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is
HARD
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 5

Two lines are drawn through (3, 4), each of which makes an angle of 45° with the line x-y=2. Then, the area of the triangle (in sq. units) formed by these lines is

EASY
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 6
The line y=2x+4 is shifted by two units along the positive y-axis, keeping parallel to itself and then, by one unit along the positive x-axis direction in the same manner. Then, the equation of the line in its new position is
MEDIUM
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 7
A ray of light passes through the points A(2, 3) reflected at a point B on the line x+y=0 and then, passes through (5, 3). Then the coordinates of B are
HARD
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 8
If the transversal y=mrx; r=1, 2, 3 cut off equal intercepts on the transversal x+y=1, then 1+m1, 1+m2, 1+m3 are in
MEDIUM
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 9
If the straight line y=x-2 rotates about a point, where it cuts the x-axis, and becomes perpendicular to the straight line ax+by+c=0, then its equation is
MEDIUM
JEE Main
IMPORTANT
Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 10
The two adjacent sides of a parallelogram are y=0 and y=3x-1. If the equation of one diagonal is 3y=x+1, then the equation of the other diagonal is