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The volume of the tetrahedron included b...

The volume of the tetrahedron included between the plane `3x+4y-5z-60=0` and the co-odinate planes is

A

`60`

B

`600`

C

`720`

D

`400`

Text Solution

Verified by Experts

The correct Answer is:
(b)
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ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...

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

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

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  4. Find the angle between the lines whose direction cosine are given by...

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

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  6. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

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

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  8. A plane makes intercepts OA, OB and OC whose measurements are b and c ...

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  9. The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4...

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  10. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

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  11. The coordinates of the point P on the line vec r=( hat i+ hat j+ h...

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  12. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

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

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

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

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

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

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  18. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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

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

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