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The cartesian equations of the plane per...

The cartesian equations of the plane perpendicular to the line `(x-1)/(2)=(y-3)/(-1)=(z-4)/(2)` and passing through the origin is

A

`2x-y+2z-7=0`

B

`2x+y+2x=0`

C

`2x-y+2z=0`

D

`2x-y-z=0`

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  2. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

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

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

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

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

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

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

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

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  10. The points hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) are equi...

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  11. A, B, C and D are four points in space. Using vector methods, prove th...

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  12. Show that x(1) hati+y(1) hatj+ z1hatk, x2hati+y2hatj+z2hatk and x3hati...

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  13. The position vectors of points of intersection of three planes rcdotn1...

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  14. A pentagon is formed by cutting a triangular corner from a rectangular...

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  15. In a dimensional coodinate a system P, Q and R are image of a point A(...

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  16. A plane 2x+3y+5z=1 has a point P which is at minimum distance from lin...

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  17. The locus of point which moves in such a way that its distance from th...

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  18. A cube C={(x, y, z)|o le x, y, zle1} is cut by a sharp knife along the...

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  19. A ray of light is sent through the point P(1, 2, 3,) and is reflected ...

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  20. A plane cutting the axes in P, Q, R passes through (alpha-beta, beta-g...

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