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Byju's Answer
Standard XII
Mathematics
Position of a Point W.R.T Ellipse
20. A tangent...
Question
20. A tangent to the curve, y = f(x) at P(x,y) meets x-axis at A and y-axis at B. If AP : BP = 1 : 3 and f(1)= 1, then the curve also passes through the point : A) (1/3 ,23) B) (3 ,1/28) C) (1/2 ,3) D) (1,2/8)
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Similar questions
Q.
A tangent to the curve,
y
=
f
(
x
)
at
P
(
x
,
y
)
meets
x
−
axis at
A
and
y
−
axis at
B
. If
A
P
:
B
P
=
1
:
3
and
f
(
1
)
=
1
, then the curve also passes through the point.
Q.
Tangent is drawn at any point
P
(
x
,
y
)
on a curve, which passes through
(
1
,
1
)
. The tangent cuts
X
-axis and
Y
-axis at
A
and
B
respectively. If
A
P
:
B
P
=
3
:
1
, then
Q.
A tangent drawn to the curve
y
=
f
(
x
)
at
P
(
x
,
y
)
cuts the
x
-axis and
y
-axis at A and
B
respectively such that BP: AP
=
3
: 1, given that
f
(
1
)
=
1
, then
Q.
A tangent to the curve
y
=
f
(
x
)
at
P
(
x
,
y
)
cuts the x-axis and the y-axis at A and B, respectively, such that
B
P
:
A
P
=
3
:
1.
If
f
(
1
)
=
1
then :
Q.
A tangent drawn to the curve
y
=
f
(
x
)
at
P
(
x
,
y
)
cuts the x and y axes at A and B, respectively, such that
A
P
:
P
B
=
1
:
3
. If
f
(
1
)
=
1
then the curve passes through
(
k
,
1
8
)
where
k
is
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