HARD
JEE Advanced
IMPORTANT
Earn 100

The centroid of an equilateral triangle is . If two vertices of the triangle lie on then one of them will have its coordinates as
(a)
(b)
(c)
(d)
(e)None of these

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Important Questions on Straight Line and Pair of Straight Lines
HARD
JEE Advanced
IMPORTANT
is an equilateral triangle such that the vertices and lie on two parallel lines at a distance If lies between the parallel lines at a distance from one of them, then the length of a side of the equilateral triangle is

HARD
JEE Advanced
IMPORTANT
If the straight lines , and are the sides of rhombus, then

HARD
JEE Advanced
IMPORTANT
A straight line makes angle with the parallel lines and If makes an intercept of units with these parallel lines, then the equation may be given as

HARD
JEE Advanced
IMPORTANT
The vertices of a are and . The equation of a line parallel to and intersecting sides and whose distance from the origin is is

MEDIUM
JEE Advanced
IMPORTANT
The image of the point with respect to the line is the point is the image of with respect to the line is the point then is equal to

MEDIUM
JEE Advanced
IMPORTANT
The equation of the diagonal through origin of the quadrilateral formed by the line and is

HARD
JEE Advanced
IMPORTANT
Consider a family of straight lines . Equation of the straight line belonging to this family that is farthest from is

HARD
JEE Advanced
IMPORTANT
A family of lines is given by being the parameter. The line belonging to this family at the maximum distance from the point is
