Q.

Assertion (A) : If a line make angles 450, 450 with the x and y axis respectively then it makes angle 600 with z-axis
Reason (R) : If α,β,γ are the angles made by a line with the coordinate axes then cos2α+ cos2β+cos2γ=1

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a

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

b

A is false but R is true

c

A is true but R is false

d

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

answer is D.

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Detailed Solution

The Statement 2 is true. 

If α,β,γ are the angles made by the line with axes in the positive direction of axes, then cos2α+cos2β+cos2γ=1

But in the statement I,  the angles are given as 45°,45°, 60°

Hence, 

cos245°+cos245°+cos260°=112+12+14=134=1

Therefore, he angles are given as 45°,45°, 60° are not the measures of angles by the line with axes. 

 

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