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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

A

`2`

B

`0`

C

`(13)/(12)`

D

`(12)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

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  3. The shortest distance of a point (1, 2, -3) from a plane making interc...

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  4. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

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  5. The direction ratios of the line I1 passing through P(1, 3, 4) and per...

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  6. Equation of the plane through three points A, B and C with position ve...

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  7. OABC is a tetrahedron. The position vectors of A, B and C are I, i+j a...

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  8. The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...

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  9. A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...

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  10. Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...

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  11. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

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  12. The angle between the lines whose direction cosines are given by the ...

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  13. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

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  14. The cartesian equations of the plane perpendicular to the line (x-1)/(...

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  15. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

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  16. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

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  17. The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0...

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  18. Let veca=hati+ hatj and vecb = 2hati-hatk . The point of intersection ...

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  19. The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...

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  20. The 3-dimensional vectors v1, v2, v3 satisfying v1cdotv1=4, v1cdotv2=-...

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