JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy

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Application +4 | -1

Three poles whose feet lie on a circle subtend angle

\alpha, \beta, \gamma

respectively at the centre of the circle. If the height of the poles are in A.P. then

\cot \alpha, \cot \beta, \cot \gamma

are in

View answer and explanation

Correct option: C

H.P.

Option C (H.P.) is correct because if the heights are in A.P., then their cotangents are in H.P. due to the relationship between height, radius, and angle.

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{p_1},{p_2},{p_3}

are altitudes of a

\Delta \;ABC

drawn from the vertices

A,B,C

and

\Delta

the area of the triangle, then

p_1^{ - 2} + p_2^{ - 2} + p_3^{ - 2}

is equal to If the sides of the triangles are

5k,\;6k,\;5k

and radius of incircle is 6, the value of

k

is equal to In a

\Delta \,ABC

, if

a = \left( {b - c} \right)\sec \theta

, then

\frac{{2\,\sqrt {bc} }}{{b - c}}\,\,\sin \,\,\frac{A}{2} =

\Delta \;ABC,\frac{{b + c}}{a}

is equal to If

\Delta = {a^2} - {\left( {b - c} \right)^2}

, where

\Delta

is the area of

\Delta \;ABC

, then

\tan A

is equal to If

A

is the area and

2 s

is the sum of the sides of a triangle, then