find the point on a straight line through Q (square root of 3, 2)makes an angle 30° with x axis in positive direction
Answers
Answer:
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Question:- A straight line through Q( 3 ,2) makes an angle 6π with the positive direction of there X-axis. If the straight line intersects the line 3
x−4y+8=0 at P; find the distance of PQ.
Answer:- Slope of line=m=tan 6π = 31 and passes through Q( 3 ,2)
⇒Equation of line:
⇒y−2= 3
1
(x−
3
)
⇒y
3
−2
3
=x−
3
⇒y
3
−x=
3
Other line
3
x−4y=−8
∴Point of intersection:
3
x−4y=−8
−x+
3
y=
3
−x
3
⇒−
3
x+3y=3
−y=−5
⇒y=5
3
x=4y−8
⇒
3
x=12
⇒x=
3
3
×4
=4
3
∴P→(4
3
,5)Q→(
3
,2)
⇒PQ=
(4
3
−
3
)
2
+(5−2)
2
=
(3
3
)
2
+(3)
2
=
27+9
= 36=6 units
Answer:
who discovered that the current in a circuit is directly proportional to the electric pressure and inversely to the resistance of the conductors
Step-by-step explanation:
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