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The angle between the line (x)/(3)=(y)/(...

The angle between the line `(x)/(3)=(y)/(4)=(z)/(5) "and the plane " 2x+y-2z=7` is

A

`0^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

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Verified by Experts

The correct Answer is:
A
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Statement 1: Let theta be the angle between the line (x-2)/(2)=(y-1)/(-3)=(z+2)/(-2) and the plane x+y-z=5. Then theta=sin^(-1)(1/sqrt(51)) statement 2: The angle between a straight line and a plane is the complement of the angle between the line and the normal to the plane.

NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  3. The angle between the line (x)/(3)=(y)/(4)=(z)/(5) "and the plane " 2x...

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  4. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  5. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  6. The equation of plane passing through the point (1 ,2 ,3) and paralle...

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  7. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  8. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  9. If the plane passing through the origin and parallel to the line (x-1)...

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  10. If lamdax+4y+5z=7,4x+4lamday+10z-14=0 represent the same plane , then ...

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  11. If the line vecr=(hati-2hatj+3hatk)+lambda(2hati+hatj+2hatk) is parall...

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  12. If the line barr=(hati-hatj+3hatk)+lamda(hati-hatj+mhatk) is parallel...

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  13. The plane 2x+3y+kz-7=0 is parallel to the line whose direction ratios...

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  14. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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  15. Equation of the plane parallel to the planes x+2y+3z-5=0," "x+2y+...

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  16. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

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  17. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  18. If A and B are foot of perpendicular drawn from point Q(a,b,c) to the ...

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  19. If a line joining the points (1,-1,2)and(3,2,-1) is perpendicular to ...

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  20. The equation of the plane containing the lines vecr=(hati+hatj-hatk)+l...

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