It is one of the six principal organs of the United Nations which includes all its members. It is the main deliberative, policy making and representative organ of the UN. Name this organ of UN. (A) General Assembly (B) International Court of Justice (C) United Nations Security Council (D) United Nations Secretariat
Home
/
Political Science
/
It is one of the six principal organs of the United Nations which includes all its members. It is the main deliberative, policy making
Answer:
The equation of the given curve is y=x
2
−2x+7.
On differentiating with respect to x, we get:
dx
dy
=2x−2
The equation of the line is 2x−y+9=0.⇒y=2x+9
This is of the form y=mx+c.
Slope of the line =2
If a tangent is parallel to the line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.
Therefore, we have: 2=2x−2
⇒2x=4⇒x=2
Now, at x=2
⇒y=2
2
−2×2+7=7
Thus, the equation of the tangent passing through (2,7) is given by,
y−7=2(x−2)
⇒y−2x−3=0
Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.
(b)
The equation of the line is 5y−15x=13.
Slope of the line =3
If a tangent is perpendicular to the line 5y−15x=13,
then the slope of the tangent is
Slope of the line
−1
=
3
−1
.
⇒
dx
dy
=2x−2=
3
−1
⇒2x=
3
−1
+2
⇒2x=
3
5
⇒x=
6
5
Now, at x=
6
5
⇒y=
36
25
−
6
10
+7=
36
25−60+252
=
36
217
Thus, the equation of the tangent passing through (
6
5
,
36
217
) is given by,
(y−
36
217
)=−
3
1
(x−
6
5
)
⇒=
36
36y−217
−
18
1
(6x−5)
⇒36y−217=−2(6x−5)
⇒36y−217=−12x+10
⇒36y+12x−227=0
Hence, the equation of the tangent line to the given curve
(which is perpendicular to line 5y−15x=13) is 36y+12x−227=0
Answer:
OK bye bye goodnight with lots of respect to you guys