Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let ABC be a triangle with A(-1,1) and ∠ ACB = θ, 0 <θ <
. If the equation of the median through B is 2x + y − 3 = 0 and the equation of angle bisector of C is 7x − 4y − 1 = 0, then tan θis equal to:
Text Solution
Verified by ExpertsThe correct answer is:
C

lies on 2x + y − 3 = 0
⇒ 2a + b = 11........(i)
∵ C lies on 7x − 4y = 1
⇒ 7a − 4b = 1........(ii)
∴ by (i) and (ii) : a = 3, b = 5
⇒ C(3, 5)
∴ m AC = 2/3
Also m CD = 7/4


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