JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1

If in a

\Delta ABC

, the sides

AB

and

AC

are perpendicular, then the true equation is

View answer and explanation

Correct option: D

\tan B\tan C = 1

Option D (

\tan B\tan C = 1

) is correct because with A = 90°, B + C = 90°, making B and C complementary angles, and the product of their tangents is 1.

More Questions from PROPERTIES OF TRIANGLES

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{p_1},{p_2},{p_3}

\Delta \;ABC

A,B,C

\Delta

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

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

k

\Delta \,ABC

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

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

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

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

\Delta

\Delta \;ABC

\tan A

A

2 s