HARD
JEE Main/Advanced
IMPORTANT
Earn 100

Find equations of the sides of the triangle having as a vertex, and being the equation of an angle bisector and a median respectively drawn from different vertices.
Important Questions on The Straight Lines
EASY
JEE Main/Advanced
IMPORTANT
The line joining and is produced to the point so that and are in the ratio . Then prove that .

HARD
JEE Main/Advanced
IMPORTANT
The base of a triangle contains the points and and the equation of sides and are and respectively. Prove that the equations of and are
and respectively.

HARD
JEE Main/Advanced
IMPORTANT
The points and are two opposite vertices of a rectangle. The other two vertices lie on the line Find and the remaining vertices.

HARD
JEE Main/Advanced
IMPORTANT
Equations of two straight lines are and . Show that the area of the quadrilateral formed by the two lines and the perpendiculars drawn from the origin to the lines is .

HARD
JEE Main/Advanced
IMPORTANT
One diagonal of a square is the portion of the line intercepted by the axes. Obtain the extremities of the other diagonal.

MEDIUM
JEE Main/Advanced
IMPORTANT
A ray of light is sent along the line , upon reaching the ray is reflected back from it. Find the equation of lines containing the reflected ray.

HARD
JEE Main/Advanced
IMPORTANT
Show that the reflection of the line in the line is the line where .

HARD
JEE Main/Advanced
IMPORTANT
If bases and the sum of area of a number of triangles have a common vertex, then show that the locus of this vertex is a straight line.
