Home
Class 12
MATHS
The integral curve of the equation ((1-x...

The integral curve of the equation `((1-x^2)dy)/(dx)+x y=x` is a conic, whose centre is (0, 1) a conic, length of whose one axis is 2 an ellipse or a circle if `|x|<1` a hyperbola if `|x|>1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by

Find the equation of a circle whose centre is (2,-1) and touches the line x-y-6=0.

The equation of the circle which touches x-axis and whose centre is (1,2) is

Integrating factor of the differential equation (x+1)(dy)/(dx)-y=e^(3x)(x+1)^(2) , is

The general solution of the differential equation (2x-y+1)dx+(2y-x+1)dy=0 is -

Find the equation of the circle which touches x-axis and whose centre is (1,2).

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

Solve the differential equation x(x^2-1)(dy)/(dx)=1 , given that when x=2, y=0 .

Find the equation of circle whose centre is the point (1,- 3) and touches the line 2x-y-4=0

The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If alpha is the only positive root of (2^(2014)-1)x^2+(2-2^(2014))x-1=...

    Text Solution

    |

  2. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

    Text Solution

    |

  3. The integral curve of the equation ((1-x^2)dy)/(dx)+x y=x is a conic, ...

    Text Solution

    |

  4. Let f (x) be a polynomial of degree 5 with leading coefficient unity s...

    Text Solution

    |

  5. If a differentiable function satisfies (x-y) f (x+y) -(x+y)f (x-y) =2 ...

    Text Solution

    |

  6. "I f"f(x)={x^3-6x^2; ifxi sr a t ion a l-11 x+6;ifxi si r r a t ion a ...

    Text Solution

    |

  7. z1a n dz2 are two complex numbers satisfying i|z1|^2z2-|z2|^2z1=z1-i z...

    Text Solution

    |

  8. If sin^2theta1+sin^2theta2+sin^2theta3=0, then which of the following ...

    Text Solution

    |

  9. If I=lambda int0^(pi/4)cos2xcos4xcos6xdx , then lambda is equal to 5 ...

    Text Solution

    |

  10. If f(x)=(x+3)/(5x^2+x-1)&g(x)=(2x+3x^2)/(20+2x-x^2) such f(x)a n dg(x...

    Text Solution

    |

  11. If Sn=sum(r=1)^n r/(1. 3. 5. 7 (2r+1)) then Sn=1/2[1-1/(1. 3. 5 (2n+1)...

    Text Solution

    |

  12. The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...

    Text Solution

    |

  13. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

    Text Solution

    |

  14. Let f(x) be a fourth differentiable function such that f(2x^(2)-1)=2xf...

    Text Solution

    |

  15. If f(x)=a x^2+b x+c such that f(p)+f(q)=0 where a!=0; a ,b ,c ,p ,q in...

    Text Solution

    |

  16. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

    Text Solution

    |

  17. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

    Text Solution

    |

  18. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

    Text Solution

    |

  19. "I f"(x)={((e^x-1)xsinx)/(x^n),x >0 0,x=0 is derivable at x=0 then in...

    Text Solution

    |

  20. If alpha, beta and gamma are the angles which a directed line makes wi...

    Text Solution

    |