The distance between the points a -cos 25- 0 and 0- a -cos 65- is

The correct option is D a Required distance =√(a^2cos^225^∘+a^2cos^265^∘) =√(a^2cos^225^∘+a^2cos^2(90^∘ 25^∘)) =√(a^2cos^225^∘+a^2sin^225^∘) = √(a^2)(cos^2 ...

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Byju's Answer

Standard X

Mathematics

Distance between Two Points Using Pythagoras Theorem

The distance ...

Question

The distance between the points $(a c o s 25^{\circ}, 0)$ and $(0, a c o s 65^{\circ})$ is ___.

$a c o s 35^{\circ}$

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$a$

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$0.5 a$

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$2 \sqrt{a}$

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Solution

The correct option is B
$a$

Required distance
$= \sqrt{a^{2} c o s^{2} 25^{\circ} + a^{2} c o s^{2} 65^{\circ}} = \sqrt{a^{2} c o s^{2} 25^{\circ} + a^{2} c o s^{2} (90^{\circ} - 25^{\circ})} = \sqrt{a^{2} c o s^{2} 25^{\circ} + a^{2} s i n^{2} 25^{\circ}} = \sqrt{a^{2}} (c o s^{2} 25^{\circ} + s i n^{2} 25^{\circ}) = \sqrt{a^{2}} (1) = a$

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Similar questions

Q. The distance between the points

(a c o s 25^{\circ}, 0)

and

(0, a c o s 65^{\circ})

is ___.

The distance between the points $(a c o s 25^{\circ}, 0)$ and $(0, a c o s 65^{\circ})$ is ___.

The distance between the points ( $a cos 55^{\circ}$ , 0) and (0, $a cos 35^{\circ}$ ) is -

Q. Solve

cos 25^{\circ} - cos 65^{\circ}

Q. Evaluate:

cos 25^{\circ} - cos 65^{\circ} =

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The distance between the points (a cos25∘,0) and (0,a cos65∘) is ___.

The correct option is B a Required distance =√a2cos225∘+a2cos265∘=√a2cos225∘+a2cos2(90∘−25∘)=√a2cos225∘+a2sin225∘=√a2(cos225∘+sin225∘)=√a2(1)=a

The distance between the points $(a c o s 25^{\circ}, 0)$ and $(0, a c o s 65^{\circ})$ is ___.