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In the given figure, D is the mid-point of BC, then the value of coty∘cotx∘ is ______. - Mathematics

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MCQ
Fill in the Blanks

In the given figure, D is the mid-point of BC, then the value of `(coty^circ)/(cotx^circ)` is ______.

Options

  • 2

  • `1/2`

  • 1/3`

  • `1/4`

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Solution

In the given figure, D is the mid-point of BC, then the value of `(coty^circ)/(cotx^circ)` is `underline(1/2)`.

Explanation:-

`(coty^circ)/(cotx^circ)=((AC)/(BC))/((AC)/(CD))=(CD)/(BC)=(CD)/(2CD)=1/2`

Concept: Areas of Similar Triangles
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