The line AB whose equation is x-y=2 cuts...

The line AB whose equation is `x-y=2` cuts the x-axis at A and B is (4,2). The line segment AB is rotated about A through an angle `(pi)/4` is anticlockwise sense Then new position B is

`(2,2sqrt(2))`

`(2,3sqrt(2))`

`(-2,3sqrt(2))`

`(-2,sqrt(2)0`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise EXERCISE -II|92 Videos
REVISION EXERCISE
AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
TANGENT AND NORMAL
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

A vector 3i + 4j rotates about its tail through an angle 37° in anticlockwise direction then the new vector is

The line 4x+3y+1=0 cuts the axes at A and B. The equation to the perpendicular bisector of AB is

The transformed equation of x^(2) -y^(2)=a^(2) when the axes are rotated through an angle pi//4 in clockwise direction is

The line joining the points A(2,0) and B(3,1) is rotated through an angle of 45^@ , about A in the anti-clockwise direction. The coordinates of B in the new position

The position vector of A is pbari+barj . If A is rotated about O through an angle pi//6 in anticlockwise direction, it conincides with B whose position verctor is bari+qbarj . The value of p,q are

The transformed equation of 3x^(2)-6xy+8y^(2)=8 when the axes are rotated about the origin through an angle pi/4 in the positive direction, is

The point (4,1) undergoes the following transformations successively I. Reflection about the line y =x II. Translation through a distance 2 units in the direction of positive X-axis. III. Rotation through an angle pi/4 about origin in the anticlock wise direction. Then, the final position of the point is

AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE

If the line (x-1)/2=(y-2)/3=t intersects the line x+y=8 then t=
Text Solution
|
The line segment joinign A(3,0),B(5,2) is rotated about a point A in a...
Text Solution
|
The line AB whose equation is x-y=2 cuts the x-axis at A and B is (4,2...
Text Solution
|
The distance of the line 3x-y=0 from the point (4,1) measured along a ...
Text Solution
|
The distance of the line x+y-8=0 from (4,1) measured along the directi...
Text Solution
|
If the lines x+y+mu=0 and lamdax-5y-5=0 are identical then lamda+mu=
Text Solution
|
If the lines 2x+2y+3=0 and x+y+1=0 are parallel then the distance betw...
Text Solution
|
The ratio in which the line passing through the points (-1,2),(2,-3) d...
Text Solution
|
With respect to the line 3x-4y=8, then points (2,3),(-4,5) are
Text Solution
|
The equation of the straight line |r to 5x-2y=7 and passing through po...
Text Solution
|
If the lines 4x+3y-1=0, x-y+5=0 and kx+5y-3=0 are concurrent, then k =
Text Solution
|
The condition that the lines ax+hy+g=0, hx+by+f=0, gx+fy+c=0 to be con...
Text Solution
|
If a+b+c=0 the straight line 2ax+3by+4c=0 passes through the fixed poi...
Text Solution
|
The lines (p+2q)x+(p-3q)y=p-q for different values of p and q passes t...
Text Solution
|
If a,b,c are in Hp. (a,b,c!=0 point of concurrence of family of lines ...
Text Solution
|
If the distance from the origin to the line ax+by+5=0 is5/(sqrt(10)), ...
Text Solution
|
P and Q are two points on the line x-y+1=0, If OP=OQ=6 then length of...
Text Solution
|
The equation of the base of ann equilateral triangle is 3x-4y+15=0 and...
Text Solution
|
In the isosceles triangle OAB, O is the origin, OA=OB=6. If the equati...
Text Solution
|
If the straight line 3x+4y=8 is equidistant from (2,3) and (-4,a) then...
Text Solution
|