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

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

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Byju's Answer

Standard X

Mathematics

Distance between Two Points on the Same Coordinate Axes

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

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Similar questions

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} =

{s i n 25}^{\circ} c o s 65 + {c o s 25}^{\circ} s i n 65

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

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

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

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