reduce the following equation into Normal Form y=2
Answers
Answer:
We have, m=tan75
∘
⇒m=tan(45
∘
+30
∘
)=
1−tan45
∘
.tan30
∘
tan45
∘
+30
∘
=
1−1
3
1
1+
3
1
=
3
3
−1
3
3
+1
=
3
−1
3
+1
Thus equation of line passing through (2,2
3
) and inclined with the x-axis at an angle of 75
∘
is given by,
(y−2
3
)=
3
−1
3
+1
(x−2)
(y−2
3
)(
3
−1)=(
3
+1)(x−2)
y(
3
−1)−2
3
(
3
−1)=x(
3
+1)−2(
3
+1)
(
3
+1)x−(
3
−1)y=2
3
+2−6+2
3
(
3
+1)x−(
3
−1)y=4
3
−4
i.e;(
3
+1)x−(
3
−1)y=4(
3
−1)
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Solution to Question ID 419152
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FIND ALL SOLUTIONS FOR THIS BOOK
textbook
Mathematics
NCERT
Exercise 10.2
SIMILAR QUESTIONS
star-struck
Reduce the following equations into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis.
(i)x−
3
y+8=0
(ii)y−2=0
(iii)x−y=4
Medium
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>
Find the equation of the line which:
Passes through (3,4) and is perpendicular to y=x+2
Easy
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>