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Find the equation of plane passing throu...

Find the equation of plane passing through the line of intersection of planes ` 3x+4y-4=0` and `x+7y+3z=0` and also through origin.

A

`[n_2 n_3 n_4]( rcdotn_1-q_1)=[n_1 n_3 n_4](rcdotn_2-q_2)`

B

`[n_1 n_2 n_3]( rcdotn_4-q_4)=[n_4 n_3 n_1](rcdotn_2-q_2)`

C

`[n_4 n_3 n_1]( rcdotn_4-q_4)=[n_1 n_2 n_3](rcdotn_2-q_2)`

D

None of these

Text Solution

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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 line which contains all points (x, y, z) which are of the form (x,...

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  2. If the position vectors of the points A,B and C be hati+hatj,hati-hatj...

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  3. Find the equation of plane passing through the line of intersection o...

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  4. A straight line is given by r=(1+t)i+3tj+(1-t)k, where tinR. If this l...

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  5. Find the distance of the point (-1, -5, -10) from the point of interse...

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  6. What is the Next Prime Number after 7 ?

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  7. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  8. The orthogonal projection A' of the point A with position vector (1, 2...

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  9. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  10. Find the value of x Equation is x+7=4

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  11. The angle between the lines AB and CD, where A(0, 0, 0), B(1, 1, 1), C...

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

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  13. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

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

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

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

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

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  18. A(xy),A(yz),A(zx) be the area of projections of an area on the xy,yz a...

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

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

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