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Q.

Assertion(A): If the Dr’s of a line are (-6,2,3) then the angles made by the line with coordinate axis are  cos1(67),cos1(27),cos1(37)  
Reason (R): The Dc’s of a line op¯  are (xr,yr,zr)   where  |op¯|=r  and  p=(x,y,z)
 

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a

Both A and R are true and R is the correct explanation of A

b

Both A and R are true and R is not correct explanation of A

c

A is false but R is true

d

A is true but R is false

answer is B.

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Detailed Solution

A: DC’s of a given line are  (67,27,37)
And DC’s of coordinate axis (1,0,0) (0,1,0) (0,0,1)
R: Formulas 
 

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