Skip to main content
Back to PROPERTIES OF TRIANGLES

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Easy
1 of 1
Application +4 | -1
In a Δ ABC\Delta \,ABC, if a=(b−c)sec⁡θa = \left( {b - c} \right)\sec \theta, then 2 bcb−c  sin⁡  A2=\frac{{2\,\sqrt {bc} }}{{b - c}}\,\,\sin \,\,\frac{A}{2} =
View answer and explanation
Correct option: C
tan⁡  θ\tan \,\,\theta
Option C (tan⁡  θ\tan \,\,\theta) is correct because by substituting a=(b−c)sec⁡θa = (b - c)\sec \theta into the cosine rule and simplifying, we find that 2 bcb−c  sin⁡  A2=tan⁡  θ\frac{{2\,\sqrt {bc} }}{{b - c}}\,\,\sin \,\,\frac{A}{2} = \tan \,\,\theta.

More Questions from PROPERTIES OF TRIANGLES

Practice All Chapter MCQs →
Type at least 2 characters or jump directly:
🔓

Save your learning progress

Sign in with a free account to save your practice answers and quiz results, then return to them when you revise.