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class 12
| maths
| applications of derivatives
Solutions for all the questions from class 12
of subject maths
of chapter applications of derivatives
CLASS
class 10
class 11
class 12
class 6
class 7
class 8
class 9
SUBJECT
maths
CHAPTER
3d coordination system
and transformation formulas
application of derivatives
application of integrals
applications of derivatives
area
binary operations
binomial theorem
circles
complex numbers
View All ↓
Class 12
Maths
Calculus
Applications Of Derivatives
A particle moves along the parabola
$y=x_{2}$
in the first quadrant in such a way that its x-coordinate (measured in metres) increases at a rate of 10 m/sec. If the angle of inclination
$θ$
of the line joining the particle to the origin change, when x = 3 m, at the rate of k rad/sec., then the value of k is
Class 12
Maths
Calculus
Applications Of Derivatives
If the function
$f(x)=x_{4}+bx_{2}+8x+1$
has a horizontal tangent and a point of inflection for the same value of x then the value of b is equal to
Class 12
Maths
Calculus
Applications Of Derivatives
In the curve
$y=x_{3}+axandy=bx_{2}+c$
pass through the point
$(−1,0)$
and have a common tangent line at this point then the value of
$a+b+c$
is
Class 12
Maths
Calculus
Applications Of Derivatives
Let
$f(x)=x_{3}+x+1$
and let g(x) be its inverse function then equation of the tangent to
$y=g(x)$
at x = 3 is
Class 12
Maths
Calculus
Applications Of Derivatives
The equation of the normal to the curve parametrically represented by
$x=t_{2}+3t−8andy=2t_{2}−2t−5$
at the point
$P(2,−1)$
is
Class 12
Maths
Calculus
Applications Of Derivatives
If the tangent at (1, 1) on
$y_{2}=x(2−x)_{2}$
meets the curve again at P, then P is
Class 12
Maths
Calculus
Applications Of Derivatives
The portion of the tangent at any point on the curve
$x=at_{3},y=at_{4}$
between the axes is divided by the abscissa of the point of contact externally in the ratio
Class 12
Maths
Calculus
Applications Of Derivatives
Equation of a line which is tangent to both the curve
$y=x_{2}+1andy=−x_{2}$
is
Class 12
Maths
Calculus
Applications Of Derivatives
From the point (1, 1) tangents are drawn to the curve represented parametrically as
$x=2t−t_{2}andy=t+t_{2}$
. The distance between the points of contact is
Class 12
Maths
Calculus
Applications Of Derivatives
For the functions defined parametrically by the equations
$f(t)=x={2t+t_{2}sin.t1 0 t=0t=0 $
and
$g(t)=y={t1 sint_{2}0 t=0t=0 $
1
2
3
4
5
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class 12
| maths
| applications of derivatives
Solutions for all the questions from class 12
of subject maths
of chapter applications of derivatives
Filter Results
CLASS
class 10
class 11
class 12
class 6
class 7
class 8
class 9
SUBJECT
maths
CHAPTER
3d coordination system
and transformation formulas
application of derivatives
application of integrals
applications of derivatives
area
binary operations
binomial theorem
circles
complex numbers
View All ↓
Class 12
Maths
Calculus
Applications Of Derivatives
A particle moves along the parabola
$y=x_{2}$
in the first quadrant in such a way that its x-coordinate (measured in metres) increases at a rate of 10 m/sec. If the angle of inclination
$θ$
of the line joining the particle to the origin change, when x = 3 m, at the rate of k rad/sec., then the value of k is
Class 12
Maths
Calculus
Applications Of Derivatives
If the function
$f(x)=x_{4}+bx_{2}+8x+1$
has a horizontal tangent and a point of inflection for the same value of x then the value of b is equal to
Class 12
Maths
Calculus
Applications Of Derivatives
In the curve
$y=x_{3}+axandy=bx_{2}+c$
pass through the point
$(−1,0)$
and have a common tangent line at this point then the value of
$a+b+c$
is
Class 12
Maths
Calculus
Applications Of Derivatives
Let
$f(x)=x_{3}+x+1$
and let g(x) be its inverse function then equation of the tangent to
$y=g(x)$
at x = 3 is
Class 12
Maths
Calculus
Applications Of Derivatives
The equation of the normal to the curve parametrically represented by
$x=t_{2}+3t−8andy=2t_{2}−2t−5$
at the point
$P(2,−1)$
is
Class 12
Maths
Calculus
Applications Of Derivatives
If the tangent at (1, 1) on
$y_{2}=x(2−x)_{2}$
meets the curve again at P, then P is
Class 12
Maths
Calculus
Applications Of Derivatives
The portion of the tangent at any point on the curve
$x=at_{3},y=at_{4}$
between the axes is divided by the abscissa of the point of contact externally in the ratio
Class 12
Maths
Calculus
Applications Of Derivatives
Equation of a line which is tangent to both the curve
$y=x_{2}+1andy=−x_{2}$
is
Class 12
Maths
Calculus
Applications Of Derivatives
From the point (1, 1) tangents are drawn to the curve represented parametrically as
$x=2t−t_{2}andy=t+t_{2}$
. The distance between the points of contact is
Class 12
Maths
Calculus
Applications Of Derivatives
For the functions defined parametrically by the equations
$f(t)=x={2t+t_{2}sin.t1 0 t=0t=0 $
and
$g(t)=y={t1 sint_{2}0 t=0t=0 $
1
2
3
4
5
Previous
page
1 / 1
You're on page
1
Next
page
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