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Byju's Answer
Standard XII
Mathematics
Position of a Line W.R.T Hyperbola
The perpendic...
Question
The perpendicular from the origin to the tangent at any point on the curve is equal to the abscissa of the point of contact. If equation of tangent to the curve at (1,3) is ax + by + 5 = 0, then value of a + b is equal to?
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Q.
The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Let the equation of the curve satisfying the above condition and which passes through (1 , 1) be
k
x
2
+
m
y
2
−
2
n
x
=
0
.Find
k
+
m
+
n
?
Q.
The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Find the equation of the curve satisfying the above condition and which passes through
(
1
,
1
)
. (The curve is a circle with radius unity.)
Q.
A curve is passing through the point
(
1
,
2
)
and if the perpendicular from
(
0
,
0
)
to the tangent at any point on the curve is equal to the abscissa of the point of contact, then the sum of length of
x
-intercept and
y
-intercept of the curve is
Q.
If a curve passing through
(
1
,
1
)
is such that the tangent drawn at any point
P
in it intersects the x-axis at
Q
and the recriprocal of abscissa of point
P
is equal to twice x-intercept of tangent at
P
. Then the equation of the curve is
Q.
If a curve passing through
(
1
,
1
)
is such that the tangent drawn at any point P on it intersects the x-axis at Q and the reciprocal of abscissa of point P is equal to twice x-intercept of a tangent at P. Then the equation of the curve is
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Position of a Line W.R.T Hyperbola
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