Answer:
Solution given:
Right angled triangle ABC is drawn where <C=
we know that
Now
left hand side
Substituting value
distributing power
Taking L.C.M
....[I]
In ∆ABC By using Pythagoras law we get
AB²+BC²=AC²
Substituting value of AB²+BC² in equation [I]
we get
=1
Right hand side
<h3><u>proved</u></h3>
Answer:
a) Parallel when a = -2/3
b) Perpendicular when a = 6
Explanation:
a) For two parallel lines slopes are equal.
So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.
Slope of 6y=−2x+4, comparing with y = mx + c
So, m = -2/6 = =-1/3
For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3
Slope of 2y=ax−5
m = a/2
We have a/2 = -1/3
a = -2/3
b) For perpendicular lines product of slope is -1.
So we have