EASY
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The equation of set of lines which are at a constant distance of  2 units from the origin is

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Important Questions on Straight Line

MEDIUM
The length of the perpendicular from 1,-2 to the line 12x+5y+63=0 is
MEDIUM

A ray of light coming from the point (2,23) is incident at an angle 30° on the line x=1 at the point A. The ray gets reflected on the line x=1 and meets x -axis at the point B. Then, the line AB passes through the point
 

HARD
A ray of light is projected from the origin at angle of 60° with the positive direction of x-axis towards the line, y=2, which gets reflected from the point, (α,2). Then the distance of the reflected ray of light from the point (2,2) is
EASY
The polar coordinate of a point P is 2, -π4. The polar coordinate of the point Q which is such that line joining PQ is bisected perpendicularly by the initial line, is
EASY
The coordinates of the foot of the perpendicular from the point 2,3 on the line x+y-11=0 is
MEDIUM
Let a0, b0, c be three real numbers and Lp,q=ap+bq+ca2+b2,  p, qR. If L23,13+L13,23+L(2,2)=0, then the line ax+by+c=0 always passes through the fixed point
EASY
The length of perpendicular from the point acosα,asinα upon the straight line y=xtanα+c, c>0 is
HARD
A ray of light passing through the point 1, 2 is reflected on the x -axis at a point P and passes through the point 5, 3 then the abscissa of a point P is
EASY
Which one of the following points lies on the straight line x-12=y+14=z-2-2?
MEDIUM
The set of all possible values of θ in the interval 0,π for which the points 1, 2 and sinθ, cosθ lie on the same side of the line x+y=1 is?
EASY
The foot of the perpendicular drawn from the point (1, 8, 4) on the line joining the point (0, -11, 4) and (2,-3,1) is
MEDIUM
A point on the straight line, 3x+5y=15 which is equidistant from the coordinate axes will lie only in:
MEDIUM
Let S be a subset of the plane defined by S=x,y:|x|+2|y|=1. Then, the radius of the smallest circle with centre at the origin and having non-empty intersection with S is
MEDIUM
If the family of straight lines ax+by+c=0, where 2a+3b=4c is concurrent at the point Pl, m, then the foot of the perpendicular drawn from P to the line x+y+1=0 is
MEDIUM
If the point a, a falls between the lines x+y=4, then
HARD
If C is the reflection of A2, 4 in x-axis and B is the reflection of C in y-axis then AB is -
MEDIUM
The image of the point 3,5 in the line x-y+1=0, lies on :
MEDIUM
Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point-1, -4 in the line is :
MEDIUM

If Q(0,-1,-3) is the image of the point P in the plane 3x-y+4z=2 and R is the point (3,-1,-2), then the area (in sq. units) of ΔPQR is

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MEDIUM
If the points 1, 1, λ & (-3, 0, 1), are equidistant from the plane, 3x+4y-12z+13=0, then λ satisfies the equation: