The shortest distance of a point (1, 2, ...

The shortest distance of a point `(1, 2, -3)` from a plane making intercepts 1, 2 and 3 units on position X, Y and Z-axes respectively, is

`2`

`0`

`(13)/(12)`

`(12)/(7)`

Text Solution

Verified by Experts

The correct Answer is:

(b)

Topper's Solved these Questions

THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos
THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
THREE DIMENSIONAL COORDINATE SYSTEM
ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos
THEORY OF EQUATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

Find the equation of the plane with intercepts 2, 3 and 4 on the x, y and z-axis respectively.

Find the distance of a point (6,0,0) from the plane 2x-3y+6z-2=0 .

What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0.

Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

Find the distance of the point P(1,2,3) from its image in the plane x+2y+4z=38 .

Centre of the circle toucing y-axis at (0,3) and making an intercept 2 units on positive X-axis is

Find the distance from (1,2,3) to the plane 2x+3y-z+2=0

The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ..........

The plane passing through the point (-2, -2, 2) and containing the line joining the points (1, 1, 1) and (1, -1, 2) makes intercepts of length a, b, c respectively the axes of x, y and z respectively, then

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)

Find the value of x Equation is x+7=4
Text Solution
|
The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...
Text Solution
|
The shortest distance of a point (1, 2, -3) from a plane making interc...
Text Solution
|
A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...
Text Solution
|
The direction ratios of the line I1 passing through P(1, 3, 4) and per...
Text Solution
|
Equation of the plane through three points A, B and C with position ve...
Text Solution
|
OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...
Text Solution
|
The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...
Text Solution
|
A(xy),A(yz),A(zx) be the area of projections of an area on the xy,yz a...
Text Solution
|
Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...
Text Solution
|
The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...
Text Solution
|
Find the angle between the lines whose direction cosine are given by...
Text Solution
|
The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...
Text Solution
|
Differentiate x^5 with respect to x.
Text Solution
|
Let P(3, 2, 6) be a point in space and Q be a point on line vecr= (hat...
Text Solution
|
A plane makes intercepts OA, OB and OC whose measurements are b and c ...
Text Solution
|
The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4...
Text Solution
|
Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...
Text Solution
|
The coordinates of the point P on the line vec r=( hat i+ hat j+ ha...
Text Solution
|
Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...
Text Solution
|