MEDIUM
JEE Main/Advance
IMPORTANT
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A ray of light travelling along the line x+3y=5 is incident on the x-axis and after refraction it enters the other side of the x-axis by turning π6 away from the x-axis. The equation of the line along which the refracted ray travels is

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Important Questions on Straight Lines

MEDIUM
JEE Main/Advance
IMPORTANT
A ray of light is sent along the line which passes through the point (2,3). The ray is reflected from the point P on x-axis. If the reflected ray passes through the point (6,4), then the co-ordinates of P are
HARD
JEE Main/Advance
IMPORTANT
A man starts from the point P(-3,4) and will reach the point Q(0,1) touching the line 2x+y=7 at R. The coordinates R on the line so that he will travel in the shortest distance is
HARD
JEE Main/Advance
IMPORTANT
The equation of base of an equilateral triangle is x+y=2 and the vertex is (2,-1). The area of the triangle is (in sq. units)
MEDIUM
JEE Main/Advance
IMPORTANT
(1,2) are the co-ordinates of a point referred to a rectangular Cartesian coordinate system. The axes are rotated through an angle 45° in the positive sense without changing the origin. Then the co-ordinates of the point in the new system is
MEDIUM
JEE Main/Advance
IMPORTANT
The co-ordinates of a point P referred to a rectangular co-ordinate system where O is the origin are (1,-2). The axes are rotated about O through an angle θ. If the co-ordinates of P in the new system are (k-1, k+1), then k2 is equal to
HARD
JEE Main/Advance
IMPORTANT
Centroid of the triangle, the equations of whose sides are 12x2-20xy+7y2=0 and 2x-3y+4=0 is
MEDIUM
JEE Main/Advance
IMPORTANT
The line joining two points A(2,0), B(3,1) is rotated about A in the counter-clockwise sense through an angle 15°. If B goes to C in the new position, then co-ordinates of C is
HARD
JEE Main/Advance
IMPORTANT
The equations of the diagonals of the square formed by the pairs of straight lines 3x2+8xy-3y2=0 and 3x2+8xy-3y2+2x-4y-1=0 are