The point (2,1) is translated parallel t...

The point `(2,1)` is translated parallel to the line `L: x-y=4` by `2sqrt(3)`units. If the new point Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is

A

`x+y=2-sqrt(6)`

B

`2x+2y=1-sqrt(6)`

C

`x+y=3-3sqrt(6)`

D

`x+y=3-2sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

STRAIGHT LINES AND PAIR OF STRAIGHT LINES
DISHA PUBLICATION|Exercise EXERCISE 1: CONCEPT BUILDER|60 Videos
STRAIGHT LINES AND PAIR OF STRAIGHT LINES
DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
SETS
DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos
THREE DIMENSIONAL GEOMETRY
DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The point (2,1), translated parallel to the line x-y=3 by the distance of 4 units.If this new position A' is the third quadrant,then the coordinates of A' are-

Find the equation of the line passing through the point (2, 3) and perpendicular to the line 4x+3y=10.

Find the equation of the line passing through the point (0, 3) and perpendicular to the line x-2y+5=0.

Find the equation of a line passes through the point (-2,1) and perpendicular to the line 3x+y=5 .

The equation of the line passing through the point (1,2) and perpendicular to the line x+y+1=0 is

Equation of line passing through the point (1,2) and perpendicular to the line y=3x-1 is

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is

Equation of a line passing through the point (2,3) and perpendicular to the line x+y+1=0 is :

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y=7.

DISHA PUBLICATION-STRAIGHT LINES AND PAIR OF STRAIGHT LINES-EXERCISE 2: CONCEPT APPLICATOR

The point (2,1) is translated parallel to the line L: x-y=4 by 2sqrt(...
Text Solution
|
If the point P(x, y) be equidistant from the points A(a + b, b - a) an...
Text Solution
|
Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...
Text Solution
|
The co-ordinates of the orthocentre of the triangle bounded by the lin...
Text Solution
|
The equations of the sided of a triangle are x+y-5=0,x-y+1=0, and x+y-...
Text Solution
|
A light ray coming along the line 3x+4y=5 gets reflected from the line...
Text Solution
|
A line AB makes zero intercepts on X-axis and Y-axis and it is perpend...
Text Solution
|
A light ray emerging from the point source placed at P(2,3) is reflect...
Text Solution
|
If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....
Text Solution
|
If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the lin...
Text Solution
|
For which value of 'p', y^(2)+xy+px^(2)-x-2y=0 represents a pair of st...
Text Solution
|
Let P Q R be a right-angled isosceles triangle, right angled at P(2,1)...
Text Solution
|
The number of lines that are parallel to 2x + 6y -7= 0 and have an int...
Text Solution
|
A vertex of an equileteral triangle is (2;3) and the equation of the o...
Text Solution
|
The value of lambda for which the lines joining the point of intersect...
Text Solution
|
For a gt b gt c gt 0 if the distance between (1,1) and the point of i...
Text Solution
|
Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...
Text Solution
|
Find the image of the point (4,-13) in the line 5x+y+6=0.
Text Solution
|
If a pair of perpendicular straight lines drawn through the origin ...
Text Solution
|
The equation of straight line passing through (-a ,0) and making a tri...
Text Solution
|
Given a family of lines a(2x +y+4) + b(x-2y-3)=0 .The number of lines ...
Text Solution
|