Let L₁ and L₂ be two non-vertical lines with slopes m₁ and m₂ respectively. If α₁ and α₂ are the inclinations of lines L₁ and L₂, respectively. the acute angle (say θ) between lines L1 and L2 , is given by

RS is the chord of contact of the point P on a circle center at O. if $m_{1} = s l o p e o f ¯ ¯¯¯¯¯¯ ¯ R S a n d m_{2} = s l o p e o f ¯ ¯¯¯¯¯¯ ¯ O P$

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Let ABC be an isosceles triangle with AB=BC. If base BC is parallel to X-axis and m1 and m2 are the slopes of medians drawn through the angular points B and C, then

The correct option is A m1m2=−1Solution: ABC an isosceles triangle AB=BC. point A is middle point of X axis. m1 and m2 slope points join B and C. The value for m1 is -1 and m2 is 1. So the answer is −1.

Let $A B C$ be an isosceles triangle with $A B = B C$ . If base $B C$ is parallel to X-axis and $m_{1}$ and $m_{2}$ are the slopes of medians drawn through the angular points $B$ and $C$ , then

The correct option is A $m_{1} m_{2} = - 1$
Solution:
ABC an isosceles triangle AB=BC.
point A is middle point of X axis. $m_{1}$ and $m_{2}$ slope points join B and C.
The value for $m_{1}$ is -1 and $m_{2}$ is 1. So the answer is $- 1$ .