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Let P(3,2,6) be a point in space and Q b...

Let `P(3,2,6)` be a point in space and `Q` be a point on line ` vec r=( hat i- hat j+2 hat k)+mu(-3 hat i+ hat j+5 hat k)dot` Then the value of `mu` for which the vector ` vec P Q` is parallel to the plane `x-4y+3z=1` is a. 1/4 b. -1/4 c. 1/8 d. -1/8

A

`(1)/(4)`

B

`-(1)/(4)`

C

`(1)/(8)`

D

`-(1)/(8)`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The shortest distance between any two opposite edges of the tetrahedro...

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