Find the distance of the point P3,\ 4,\ ...

Find the distance of the point `P3,\ 4,\ 4)` from the point where the line joining the points `A(3,\ -4,\ -5)a n d\ B(2,\ -3,\ 1)` intersects the plane `2x+y+ z =7.`

Text Solution

Verified by Experts

The correct Answer is:

7

Topper's Solved these Questions

JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos
JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos
JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-A)|80 Videos
JEE MAINS 2020
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
JEE MAINS 2022
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the point P(3,\ 4,\ 4) from the point where the line joining the points A(3,\ -4,\ -5)a n d\ B(2,\ -3,\ 1) intersects the plane 2x+y+z=7.

The point at which the line joining the points (2, -3, 1) and (3, -4, -5) intersects the plane 2x+y+z=7 is

Find the angle between the line joining the points (3,\ -4,\ -2)a n d\ (12 ,\ 2,\ 0) and the plane 3x-y+z=1.

Find the distance of the point P(-1,-5,-10) from the point of intersection of the line joining the points A(2,-1,2) and B(5,3,4) with the plane x-y+z=5

Find the distance of the point P(-1,-5,-10) from the point of interesection of the line joining the points A(2,-1,2) and B(5,3,4) with the plane is x-y+z=5

Find the distance of the point (1,-2,3) from the line joining the points (-1,2,5) and (2,3,4).

Find the ratio in which the line joining the points (2, 3, 5) and (3, 4, 1) is divided by the plane x - 2y + z =5.

Find the distance of the point (4, 2) from the line joining the points (4, 1) and (2,3).

Find the distance of the point P(1,5,10) from the point of intersection of the loining the points A(2,1,2) and B(5,3,4) with the plane xy+z=5

Find the anlge between the line joining the points A(3,-4,-2) and B(12,2,0) and the plane 3x-y+z=1 .

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)

For real numbers alpha and beta, consider the following system of line...
Text Solution
|
Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) and vec(c )= hat(j)-hat(...
Text Solution
|
If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...
Text Solution
|
Find the domain of function f(x)=(log)4[(log)5{(log)3(18 x-x^2-77}]
Text Solution
|
Let f(x)= |(sin^(2)x,-2+cos^(2)x,cos2x),(2+sin^(2)x,cos^(2)x,cos2x),(s...
Text Solution
|
Let F:[3,5] rarr R be a twice differentiable function on (3,5) such th...
Text Solution
|
Let a plane p passes through the point (3,7,-7) and contain the line ,...
Text Solution
|
Let S= {1,2,3,4 5,6, 7}. Then the number of possible functions f: S ra...
Text Solution
|
If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equ...
Text Solution
|
Let f: [0,3] rarr R be defined by f(x)= "min" {x-[x], 1+[x]-x} where [...
Text Solution
|
Let vec(a) = hat(i) - alpha hat(j) + beta hat(k) , vec(b) = 3 hat(i) ...
Text Solution
|
Find the distance of the point P3,\ 4,\ 4) from the point where the li...
Text Solution
|
If the real part of the complex number z = ( 3 + 2 i cos theta)/( 1 -...
Text Solution
|
Let E be an ellipse whose axes are parallel to the co-ordinates axes, ...
Text Solution
|
If int (0) ^(pi) ( sin ^(3) x) e^(- sin^(2)x)dx = alpha - (beta)/( e)...
Text Solution
|
Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x...
Text Solution
|
Let y = y (x) be the solution of the differential equation dy = e^(a...
Text Solution
|
Let n be a non - negative integer . Then the number of divisors of the...
Text Solution
|
Let A = { n in N | n^(2) le n + 10,000 } B = { 3k + 1 | k in N } and ...
Text Solution
|
If A = [(1,1,1),(0,1,1),(0,0,1)] and M = A + A^(2) + A^(3) + . . . . ...
Text Solution
|