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If from the point P(f, g, h) perpendicul...

If from the point `P(f, g, h)` perpendicular PL and PM be drawn to yz and zx-planes, then the equation to the plane OLM is

A

`(x)/(f)+(y)/(g)-(z)/(h)=0`

B

`(x)/(f)+(y)/(g)+(z)/(h)=0`

C

`(x)/(f)-(y)/(g)+(z)/(h)=0`

D

`-(x)/(f)+(y)/(g)+(z)/(h)=0`

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)
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  2. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

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  3. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

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  4. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

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  5. A variable plane forms a tetrahedron of constant volume 64k^3 with the...

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  6. Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutual...

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  7. Equations of the line which passe through the point with position vect...

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  8. Which of the following planes are parallel but not identical? P1: 4x...

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  9. A parallelopied is formed by planes drawn through the points (1, 2, 3)...

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  10. Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(...

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  11. The vector equations of two lines L1 and L2 are respectively, L1:r=2i+...

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  12. Consider the plane (x,y,z)= (0,1,1) + lamda(1,-1,1)+mu(2,-1,0) The dis...

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  13. The value of a for which the lines (x-2)/(1)=(y-9)/(2)=(z-13)/(3) and ...

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  14. For the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3), which one of the following...

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  15. Given planes P1:cy+bz=x P2:az+cx=y P3:bx+ay=z P1, P2 and P3 pass...

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  16. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  17. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...

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

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  19. If the three planes rcdotn1=p1, rcdotn2=p2 and rcdotn3=p3 have a commo...

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  20. The equation of the plane which passes through the line of intersectio...

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