Home
Class 12
MATHS
In X-Y plane, the path defined by the eq...

In X-Y plane, the path defined by the equation `(1)/(x^(m))+(1)/(y^(m)) +(k)/((x+y)^(n)) =0`, is (a) a parabola if `m = (1)/(2), k =- 1, n =0` (b) a hyperbola if `m =1, k =- 1, n=0` (c) a pair of lines if `m = k = n =1` (d) a pair of lines if `m = k =- 1, n =1`

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 equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents (a) a parabola for k = (l^2+m^2)^(-1) (b) an ellipse for 0 (1^2+m^2)^(-1) (d) a point circle for k=0

If m, n in N , then int_(0)^(pi//2)((sin^(m)x)^(1/n))/((sin^(m)x)^(1/n)+(cos^(m)x)^(1/n))dx is equal to

The coefficient of x^m in (1+x)^m +(1+m)^(m+1) +...+(1+x)^n ,m≤n is

lim_(xto0) ((2^(m)+x)^(1//m)-(2^(n)+x)^(1//n))/(x) is equal to

If mgt1 and ninN , such that 1^(m)+2^(m)+3^(m)+...+n^(m)gtn((n+1)/(k))^(m) Then, k=

If x,y are positive real numbers and m, n are positive integers, then prove that (x^(n) y^(m))/((1 + x^(2n))(1 + y^(2m))) le (1)/(4)

Prove that sum_(k=0)^(n) (-1)^(k).""^(3n)C_(k) = (-1)^(n). ""^(3n-1)C_(n)

""^(m)C_(r+1)+ sum_(k=m)^(n)""^(k)C_(r) is equal to :

If m =! n and (m + n)^(-1) (m^(-1) + n^(-1)) = m^(x) n^(y) , show that : x + y + 2 = 0.

For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a_(1)y+a_(2)y^(2) + "……." and a_(1) = a_(2) = 10 , then (m,n) is :

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The foci of the hyperbola 3(y-1)^2-4(x-2)^2=12 are

    Text Solution

    |

  2. Equation of the locus of all points such that the difference of its di...

    Text Solution

    |

  3. In X-Y plane, the path defined by the equation (1)/(x^(m))+(1)/(y^(m))...

    Text Solution

    |

  4. If A-=(p,q,r) and B-=(p^('),q^('),r^(')) are two points on the line la...

    Text Solution

    |

  5. A function is definded as f(x) = lim( n to oo) {{:(cos^(2n)x, if ...

    Text Solution

    |

  6. If one of the lines given by the equation 2x^2+p x y+3y^2=0 coincide w...

    Text Solution

    |

  7. if A=sin^2x-4sinx+2 then, for x in R a. -1lt=Alt=8 b. -1lt=Alt=7 ...

    Text Solution

    |

  8. Two sides of a Rhombus ABCD are parallel to the lines x-y=5 and 7x-y=3...

    Text Solution

    |

  9. (sin8^0dotsin 52^0dotsin 68^0)/(sin 24^0) is equal to (a)1 (b)2 (c)-1 ...

    Text Solution

    |

  10. The equation of the chord of the circle x^2+y^2-3x-4y-4=0 , which pass...

    Text Solution

    |

  11. If t a n x=3cot x , then the general value of x is (A) npi+pi/6,"n" i...

    Text Solution

    |

  12. If the circle x^2+y^2 -2x-2y+1=0 is inscribed in a triangle whose two...

    Text Solution

    |

  13. Find the minimum value of 9tan^2theta+4cot^2theta

    Text Solution

    |

  14. The equation of the incircle of equilateral triangle A B C where B-=(2...

    Text Solution

    |

  15. If the equation of a given circle is x^2+y^2=36 , then the length of t...

    Text Solution

    |

  16. If the sum of the first 100 terms of an AP is -1 and the sum of even t...

    Text Solution

    |

  17. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  18. If (x-2)^2+(y-2)^2=1, then which of the following is true? a.maximum...

    Text Solution

    |

  19. The angle between the lines 2x^2-7x y+3y^2=0 is 1.60^0 2. 45^0 3. ...

    Text Solution

    |

  20. The slope of a median, drawn from the vertex A of the triangle ABC is ...

    Text Solution

    |