Home
Class 12
MATHS
The curve with the property that the pro...

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to `a` is (a) `( b ) (c) a1n(( d ) (e)sqrt(( f ) (g) (h) y^(( i )2( j ))( k )-( l ) a^(( m )2( n ))( o ) (p))( q )+y (r))=x+c (s)` (t) (u) `( v ) (w) x+sqrt(( x ) (y) (z) a^(( a a )2( b b ))( c c )-( d d ) y^(( e e )2( f f ))( g g ) (hh))( i i )=c (jj)` (kk) (ll) `( m m ) (nn) (oo) (pp)(( q q ) (rr) y-a (ss))^(( t t )2( u u ))( v v )=c x (ww)` (xx) (yy) `( z z ) (aaa) a y=( b b b ) (ccc)tan^(( d d d ) (eee)-1( f f f ))( g g g )(( h h h ) (iii) x+c (jjj))( k k k )` (lll)

A

`x-a In(sqrt(y^(2)-a^(2))+y)=C`

B

`x+a sqrt(a^(2)-y^(2))=C`

C

`(y-a)^(2)=Cx`

D

`ay=tan^(-1)(x+c)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

An angle is double of its supplement. The measure of the angle is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h )\ ( i ) (j) (b) ( k ) (l) (m) (n) 120^(( o )0( p ))( q ) (r) (s) (t) ( u ) (v) (w) (x) 40^(( y )0( z ))( a a ) (bb) (cc) (d) ( d d ) (ee) (ff) (gg) 80^(( h h )0( i i ))( j j ) (kk) (ll)

If angles of a linear pair are equal, then the measure of each angle is (a) ( b ) (c) (d) (e) 30^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 45^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 90^(( 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)

An angle is thrice its supplement. The measure of the angle is (a) ( b ) (c) (d) (e) 120^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 105^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 135^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 150^(( 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)

The measure of an angle which is its own complement is (a) ( b ) (c) (d) (e) 30^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 60^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 90^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 45^(( q )0( r ))( s ) (t) (u)

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)

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Single Option Correct Type Questions)
  1. If the differential equation of the family of curve given by y=Ax+Be^(...

    Text Solution

    |

  2. passes through a curve point (1,pi/4) and at some point Its gradation ...

    Text Solution

    |

  3. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  4. A function y = f(x) satisfies the condition f'(x) sin x + f(x) cos x=...

    Text Solution

    |

  5. A curve is such that the area of the region bounded by the co-ordinate...

    Text Solution

    |

  6. The value of the constant 'm' and 'c' for which y = mx + c is a soluti...

    Text Solution

    |

  7. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  8. The solution of the differential equation, x^(2)dy/dxcos""(1)/(x)-ysi...

    Text Solution

    |

  9. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  10. A curve C passes through origin and has the property that at each poin...

    Text Solution

    |

  11. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x...

    Text Solution

    |

  12. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  13. The differential equation corresponding to the family of curves y=e^x ...

    Text Solution

    |

  14. The equation to the orthogonal trajectories of the system of parabolas...

    Text Solution

    |

  15. A function satisfying int0^1f(tx)dt=nf(x), where x>0 is

    Text Solution

    |

  16. The substituion y=z^(alpha) transforms the differential equation (x^(2...

    Text Solution

    |

  17. A curve passing through (2,3) and satisfying the differential equat...

    Text Solution

    |

  18. Which one of the following curves represents the solution of the initi...

    Text Solution

    |