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The equation of a curve passing through `(2,7/2)` and having gradient `1-1/(x^2)` at `(x , y)` is (a) `( b ) (c) y=( d ) x^(( e )2( f ))( g )+x+1( h )` (i) (b) `( j ) (k) x y=( l ) x^(( m )2( n ))( o )+x+1( p )` (q) (c) `( d ) (e) x y=x+1( f )` (g) (d) None of these

A

`y=x^(2)+x+1`

B

`xy=x^(2)+x+1`

C

`xy=x+1`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. Find the curve for which the length of normal is equal to the radius v...

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  2. Differential equation of all parabolas having their axes of symmetry c...

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  3. The equation of a curve passing through (2,7/2) and having gradient...

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  4. The equation of the curves through the point (1, 0) and whose slope...

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  5. about to only mathematics

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  6. A particle moves in a straight line with a velocity given by ( dx) /(...

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  7. If (dy)/(dx)=e^(-2 y)and y=0 "when" x=5 then fiind the value of x when...

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  8. Find the equation of a curve passing through origin and satisfying the...

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  9. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  10. If phi (x)=phi '(x) and phi(1)=2, then phi(3) equals

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  11. about to only mathematics

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  12. The curve for which the slope of the tangent at any point is equal to ...

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  13. The curve in the first quadrant for which the normal at any point (...

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  14. The function f(theta)=d/(dtheta)int0^theta(dx)/(1-costhetacosx) satisf...

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  15. The differential equation of all ellipses centred at the origin is

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  16. The differential equation of the curve for which the initial ordina...

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  17. The equation of the curve whose subnormal is constant is

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  18. The degree of the differential equation y(3)^(2//3)+2+3y(2)+y(1)=0, ...

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  19. The degree of the differential equation satisfying sqrt(1-x^2)+sqrt...

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  20. The order of the differential equation whose general solution is gi...

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