Let S be the mirror image of the point Q...

Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane `2x-y+z+3=0` and let R `(3,5, gamma)` be a point of this plane. Then the square of the length of the line segment SR is __________.

Text Solution

AI Generated Solution

Topper's Solved these Questions

APPLICATION OF INTEGRALS
JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

Find the image of the point (2,-3,4) with respect to the plane 4x+2y-4z+3=0

then image of the point (-1,3,4) in the plane x-2y=0

The image of the point (-1, 3, 4) in the plane x-2y=0 is

Find the coordinates of the image of the point P(1,3,4) in the plane 2x-y+z+3=0

Find the image of the point (1,3,4) in the plane 2x-y+z+3=0

Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . The equation of the plane passing through P and parallel to x-2y+3z=7 is

JEE MAINS PREVIOUS YEAR-APPLICATION OF DERIVATIVES-All Questions

Let S be the mirror image of the point Q(1, 3, 4) with respect to the ...
Text Solution
|
If p and q are positive real numbers such that p^2+""q^2=""1 , t...
Text Solution
|
A value of C for which the conclusion of Mean Value Theorem holds f...
Text Solution
|
The function f(x)""=""t a n^(-1)(sinx""+""cosx) is an increasing fu...
Text Solution
|
How many real solutions does the equation x^7+""14 x^5+""16 x^3+""3...
Text Solution
|
Suppose the cube x^3""p x""+""q has three distinct real roots wh...
Text Solution
|
Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...
Text Solution
|
The shortest distance between the line yx=1 and the curve x=y^2 is ...
Text Solution
|
Let f: R R be a continuous function defined by f(x)""=1/(e^x+2e^(-...
Text Solution
|
Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt...
Text Solution
|
The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...
Text Solution
|
The shortest distance between line y"-"x""=""1 and curve x""=""y^2 is ...
Text Solution
|
A spherical balloon is filled with 4500p cubic meters of helium gas...
Text Solution
|
The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...
Text Solution
|
If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...
Text Solution
|
A bird is sitting on the top of a vertical pole 20 m high and its e...
Text Solution
|
The normal to the curve, x^2+""2x y-3y^2=""0,""a t""(1,""1) : (1) ...
Text Solution
|
Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...
Text Solution
|
A wire of length 2 units is cut into two parts which are bent respe...
Text Solution
|
The radius of a circle, having minimum area, which touches the curve y...
Text Solution
|
Twenty metres of wire is available for fencing off a flower-bed in ...
Text Solution
|