If - - Y be the angles which a line makes with the positive direction of co-ordinate axes- then sin 2-sin -RPET 2000- AMU 2002- MP PET 1989- 98- 2000- 03-Pb- CET 2001-A- 0B- 2C- 1D- 3

The correct option is B 2Since cos^2α+cos^2 β+cos^2 γ=1⇒∑ sin^2α = 3 1=2 ...

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Standard XII

Mathematics

Coordinate Axes in Three Dimensional Space

If α, β, Y be...

Question

If $α, β, γ$ be the angles which a line makes with the positive direction of co-ordinate axes, then $s i n^{2} α + s i n$
[RPET 2000; AMU 2002; MP PET 1989, 98, 2000, 03,Pb. CET 2001]

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Solution

The correct option is A
2

Since
$c o s^{2} α + c o s^{2} β + c o s^{2} γ = 1 \Rightarrow \sum s i n^{2} α = 3 - 1 = 2$

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Similar questions

If $α, β, γ$ be the angles which a line makes with the positive direction of co-ordinate axes, then $s i n^{2} α + s i n^{2} β + s i n^{2} γ =$
[RPET 2000; AMU 2002; MP PET 1989, 98, 2000, 03, Pb. CET 2001]

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If α,β,γ be the angles which a line makes with the positive direction of co-ordinate axes, then sin2α+sin [RPET 2000; AMU 2002; MP PET 1989, 98, 2000, 03,Pb. CET 2001]

The correct option is A 2Since cos2α+cos2β+cos2γ=1⇒∑sin2α=3−1=2

If $α, β, γ$ be the angles which a line makes with the positive direction of co-ordinate axes, then $s i n^{2} α + s i n$
[RPET 2000; AMU 2002; MP PET 1989, 98, 2000, 03,Pb. CET 2001]

The correct option is A
2

Since
$c o s^{2} α + c o s^{2} β + c o s^{2} γ = 1 \Rightarrow \sum s i n^{2} α = 3 - 1 = 2$