The plane 2x-2y+z=3 is rotated about its...

The plane 2x-2y+z=3 is rotated about its line of intersection with the x-y plane by an acute angle `alpha`. If the new position of the plane contains the point (3,1,1)then thevalue of cos`alpha`=

`(1)/(3)`

`(2)/(3)`

`(7)/(9)`

`(4)/(9)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 32
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
NTA JEE MOCK TEST 34
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The plane 2x-2y+z=3 is rotated about its line of intersection with the xy -plane by an acute angle alpha .If the new position of the plane contains the point (3,1,1) ,then the value of cos alpha is equal to

If the plane x+y+z=1 is rotated through 90^(@) about its line of intersection with the plane x-2y+3z=0, the new position of the plane is

The plane x+2y+3z=7 is rotated about the line where it cut y z -plane by an angle theta . In the new position the plane contains the point (-1,0,2)dot Then theta a.cos^(-1)1/7 b. cos^(-1)6/7 c. cos^(-1)(5/7) d. pi/2

The plane x-y-z=4 is rotated through 90^(@) about tits line of intersection with the plane x+y+2z=4. Find its equation in the new position,

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

The plane ax+by=0 is rotated about its line of intersection with the plane z=0 through an angle alpha. Prove that the equation of the plane in its new position is ax+by+-(sqrt(a^(2)+b^(2))tan alpha)z=0

The plane ax +by=0 is rotated about its line of intersection with the plane z=0 through an angle alpha. Prove that the equation of the plane in its new position is ax+by+-(sqrt(a^(2)+b^(2))tan alpha)z=0

The plane x-2y+3z=0 is rotated through a right angle about the line of intersection with the plane 2x+3y-4z-5=0, find the equation of the plane in its new position.

NTA MOCK TESTS-NTA JEE MOCK TEST 33-MATHEMATICS

A pole stands vertically in the center of a square. When 45° is the el...
Text Solution
|
If the area bounded by y=x, y=sinx and x=(pi)/(2) is ((pi^(2))/(k)-1)...
Text Solution
|
A bag contains 10 white and 3 black balls. Balls are drawn one-by-one ...
Text Solution
|
Consider the function f(x)=(x^(3)-x)|x^(2)-6x+5|, AA x in R, then f(x)...
Text Solution
|
The solution of the differential equation (dy)/(dx)+xyln y=x^(3)y is e...
Text Solution
|
If f:R rarr [(pi)/(3),pi) defined by f(x)=cos^(-1)((lambda-x^(2))/(x^(...
Text Solution
|
The first three terms of a geometric progression are 3, -1 and 1/3. Th...
Text Solution
|
Let P=[[1,0,0],[4,1,0],[16,4,1]]and I be the identity matrix of order ...
Text Solution
|
The plane 2x-2y+z=3 is rotated about its line of intersection with the...
Text Solution
|
Two tangents are drawn from a point (-4, 3) to the parabola y^(2)=16x....
Text Solution
|
The integral I=int2^((2^(x)+x))dx=lambda. (2^(2^(x)))+C (where, C is t...
Text Solution
|
The function y=x^(4)-8x^(3)+22x^(2)-24x+10 attains local maximum of mi...
Text Solution
|
The radius of the circle touching the line x+y=4" at "(1, 3) and inter...
Text Solution
|
The value of the integral int(-3pi)^(3pi)|sin^(3)x|dx is equal to
Text Solution
|
Let B and C are points of interection of the parabola y=x^(2) and the ...
Text Solution
|
The value of lim(xrarr0)((1)/(x^(18)))1-cos((x^(3))/(3))-cos((x^(6))/(...
Text Solution
|
The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...
Text Solution
|
In the expansion of (ax+b)^(2020), if the coefficient of x^(2) and x^(...
Text Solution
|
If A is an invertible matrix of order 3 and B is another matrix of the...
Text Solution
|
If the line segment joining P(2, 3) and Q(5, 7) subtends a right angle...
Text Solution
|