Tangent to a curve intercepts the y-axis...

Tangent to a curve intercepts the y-axis at a point `Pdot` A line perpendicular to this tangent through `P` passes through another point (1,0). The differential equation of the curve is (a) `( b ) (c) y (d)(( e ) dy)/( f )(( g ) dx)( h ) (i)-x (j) (k)(( l ) (m) (n)(( o ) dy)/( p )(( q ) dx)( r ) (s) (t))^(( u )2( v ))( w )=1( x )` (y) (b) `( z ) (aa) (bb)(( c c ) x (dd) d^(( e e )2( f f ))( g g ))/( h h )(( i i ) d (jj) x^(( k k )2( l l ))( m m ))( n n ) (oo)+( p p ) (qq)(( r r ) (ss) (tt)(( u u ) dy)/( v v )(( w w ) dx)( x x ) (yy) (zz))^(( a a a )2( b b b ))( c c c )=0( d d d )` (eee) (c) `( d ) (e) y (f)(( g ) dx)/( h )(( i ) dy)( j ) (k)+x=1( l )` (m) (d) None of these

`y=dy//dx-x(dy//dx)^(2)=1`

`x(d^(2)y)/(dx^(2))+(dy//dx)^(2)=1`

`ydx//dy+x=1`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS|Exercise Exercise For Session 6|4 Videos
DIFFERENTIATION
ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
ELLIPSE
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Tangent to a curve intercepts the y-axis at a point P A line perpendicular to this tangent through P passes through another point (1,0). The differential equation of the curve is

In Fig.93, if A O C is a straight line, then x= (a) ( b ) (c) (d) (e) 42^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 52^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 142^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 38^(( q )0( r ))( s ) (t) (u)

In Fig.97, If A B is parallel to CD, then the value of /_B P E is (a) ( b ) (c) (d) (e) 106^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 76^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 74^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 84^(( q )0( r ))( s ) (t) (u)

Two complementary angles are in the ratio 2: 3. The measure of the larger angle is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 54^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 66^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 48^(( q )0( r ))( s ) (t) (u)

Two supplementary angles are in the ratio 3: 2. The smaller angle measures (a) ( b ) (c) (d) (e) 108^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 81^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 72^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 68^(( q )0( r ))( s ) (t) (u)

The sum of an angle and one third of its supplementary angle is 90^0dot The measure of the angle is (a) ( b ) (c) (d) (e) 135^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 120^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 45^(( q )0( r ))( s ) (t) (u)

The sum of an angle and half of its complementary angle is 75^0dot The measure of the angle is (a) ( b ) (c) (d) (e) 40^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 50^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 80^(( q )0( r ))( s ) (t) (u)

Find the equation of the curve passing through the point (1, -1) whose differential equation is xy(dy)/(dx)=(x+2)(y+2)

In Fig.88 P R is a straight line and /_P Q S :/_S Q R=7: 5. The measure of /_S Q R is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) 62 (m) (n) (o)1/( p )2( q ) (r)^(( s )0( t ))( u ) (v) (w) (c) ( d ) (e) 67 (f) (g) (h)1/( i )2( j ) (k)^(( l )0( m ))( n ) (o) (p) (d) ( q ) (r) (s) (t) 75^(( u )0( v ))( w ) (x) (y)

/_A is an obtuse angle. The measure of /_A and twice its supplementary differ by 30^0dot Then, /_A can be (a) ( b ) (c) (d) (e) 150^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 110^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 140^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 120^(( q )0( r ))( s ) (t) (u)

ARIHANT MATHS-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)

Consider the cubic equation f(x)=x^(3)-nx+1=0 where n ge3, n in N then...
Text Solution
|
If the normal to y=f(x) at (0, 0) is given by y-x =0, then lim(x to 0)...
Text Solution
|
Tangent to a curve intercepts the y-axis at a point Pdot A line ...
Text Solution
|
The number of points in the rectangle {(x,y):|x|le9,|y|le3} which lie...
Text Solution
|
If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no...
Text Solution
|
If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no...
Text Solution
|
Let f(x) be a differentiable function in the interval (0, 2) then the ...
Text Solution
|
Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...
Text Solution
|
x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) the...
Text Solution
|
Let y = f(x), f : R ->R be an odd differentiable function such that f'...
Text Solution
|
A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R, if f...
Text Solution
|
Let a curve y=f(x),f(x)ge0, AA x in R has property that for every poin...
Text Solution
|
If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...
Text Solution
|
Let f(x)=|[1,1,1] , [3-x,5-3x^2,3x^3-1] , [2x^2-1,3x^5-1,7x^8-1]| then...
Text Solution
|
The graphs y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect at exacty 3 distin...
Text Solution
|
In which of the following function Rolle's theorem is applicable ?
Text Solution
|
The figure shows a right triangle with its hypotenuse OB along the Y-a...
Text Solution
|
Number of positive integral value(s) of 'a' for which the curve y=a^(x...
Text Solution
|
Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...
Text Solution
|
If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...
Text Solution
|