HARD
JEE Main/Advanced
IMPORTANT
Earn 100

The equation of bisectors of the angles between the two intersecting lines x-3cosθ=y+5sinθ and x-3cosϕ=y+5sinϕ are x-3cosα=y+5sinα and x-3β =y+5γ,then

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Important Questions on The Straight Lines

HARD
JEE Main/Advanced
IMPORTANT
If the point Pa2,a lies in the region corresponding to the acute angle between the line 2y=x and 4y=x, then am,4, where m is  _____
HARD
JEE Main/Advanced
IMPORTANT
The point 1+cosθ,sinθ lies between the region corresponding to the acute angle between the lines x-3y=0 and x-6y=0. If θ2nπ+2tan-11m,2nπ+2tan-11n, then m+n is equal to  _____
HARD
JEE Main/Advanced
IMPORTANT
One of the bisector of the angle between the lines ax-12+2hx-1y-2+by-22=0 is x+2y-5=0. Then other bisector is _____.
EASY
JEE Main/Advanced
IMPORTANT
The four sides of a quadrilateral are given by the equation xyx-2y-3=0.  The equation the line parallel to x-4y=0 that divides the quadrilateral in two equal areas is
HARD
JEE Main/Advanced
IMPORTANT
If the lines 2sina+sinbx-2sina-by=3
2cosa+cosbx+2cosa-by=5 are perpendicular, then sin2a+sin2b is equal to _____
EASY
JEE Main/Advanced
IMPORTANT
If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is:
MEDIUM
JEE Main/Advanced
IMPORTANT
The incentre of triangle formed by the lines x=0, y=0 and 3x+4y=12 is -
HARD
JEE Main/Advanced
IMPORTANT
A family of lines is given by the equation 3x+4y+6+λx+y+2=0. The line situated at the greatest distance from the point 2,3 belonging to this family has the equation _____ .