Home
Class 14
MATHS
Which on the following is correct? The e...

Which on the following is correct? The eccentricity of the conic : `x^2/(a^(2) + lambda) + y^(2)/(b^(2) + lambda) = 1, (lambda ge 0)`

A

increases with increase in `lambda`

B

decreases with increase in `lambda`

C

does not change with `lambda`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos

  • COMPLEX NUMBER

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|87 Videos

  • DEFINITE INTEGRATION

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS |65 Videos

Similar Questions

Explore conceptually related problems

The orthogonal trajectories of the curves (x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1 , lambda being the parameter of the family is

Prove that the family of curves x^2/(a^2+lambda)+y^2/(b^2+lambda)=1 , where lambda is a parameter, is self orthogonal.

If y=mx+c be a tangent to the hyperbola (x^(2))/(lambda^(2))-(y^(2))/((lambda^(3)+lambda^(2)+lambda)^(2))=1,(lambda!=0), then

The asymptote of the hyperbola (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 form with ans tangen to the hyperbola triangle whose area is a^(2)tan lambda in magnitude then its eccentricity is: (a) sec lambda(b)cos ec lambda(c)sec^(2)lambda(d)cos ec^(2)lambda

the values of lambda for which (lambda^(2)-3 lambda+2)x^(2)+(lambda^(2)-5 lambda+6)+lambda^(2)-4=0 is identity in x is

Two particle are moving perpendicular to each with de-Broglie wave length lambda_(1) and lambda_(2) . If they collide and stick then the de-Broglie wave length of system after collision is : (A) lambda = (lambda_(1) lambda_(2))/(sqrt(lambda_(1)^(2) + lambda_(2)^(2))) (B) lambda = (lambda_(1))/(sqrt(lambda_(1)^(2) + lambda_(2)^(2))) (C) lambda = (sqrt(lambda_(1)^(2) + lambda_(2)^(2)))/(lambda_(2)) (D) lambda = (lambda_(1) lambda_(2))/(sqrt(lambda_(1) + lambda_(2)))

The equation (x^(2))/(2-lambda)+(y^(2))/(lambda-5)+1=0 represents an elipse,if

The equation of the circle which touches the axes of co-ordination and the line ( x)/( 3) +( y )/( 4) =1 and when centre lines in the first quadrant is x^(2)+y^(2) - 2 lambda x - 2lambda y +lambda^(2) =0 , then lambda is equal to :

If (x+y)^(2)=2(x^(2)+y^(2)) and (xy+lambda)^(2)=4,lambda>0, then lambda is equal to

PUNEET DOGRA-CONIC SECTION-PREV YEAR QUESTIONS
  1. Which on the following is correct? The eccentricity of the conic : x^2...

    Text Solution

    |

  2. A truck covered a distance of 360km in 8 hours. A car covers the same ...

    Text Solution

    |

  3. What would be the simple interest accrued in 4 years on a principal of...

    Text Solution

    |

  4. Two parabolas y^(2)=4ax and x^(2)=4ay intersect at

    Text Solution

    |

  5. Distance between focal distance remains constant for an ellipse, that ...

    Text Solution

    |

  6. The second degree equation x^(2) + 4y - 2x -4y + 2= 0 represents

    Text Solution

    |

  7. What is the equation of the ellipse whose vertices are (pm5, 0) and fo...

    Text Solution

    |

  8. The position of the point (1, 2) relative to the ellipse 2x^(2)+7y^(2)...

    Text Solution

    |

  9. The equation of the ellipse whose centre is at origin, major axis is a...

    Text Solution

    |

  10. Geometrically Re (z^(2)-i)=2. where i = sqrt(-1) and Re is the real pa...

    Text Solution

    |

  11. A man running round a racecourse notes that the sum of the distance of...

    Text Solution

    |

  12. What is the equation of the ellipse having foci (±2, 0) and the eccent...

    Text Solution

    |

  13. What is the equation of the hyperbola having latus rectum and eccentri...

    Text Solution

    |

  14. What is the eccentricity of rectangular hyperbola?

    Text Solution

    |

  15. If the ellipse 9x^(2)+16y^(2)=144 intercepts the line 3x+ 4y = 12. th...

    Text Solution

    |

  16. Consider the parabola y = x^(2) + 7x + 2 and the straight line y = 3x ...

    Text Solution

    |

  17. Consider the parabola y = x^(2) + 7x + 2 and the straight line y = 3x ...

    Text Solution

    |

  18. What is the curve which passes through the point (1,1) and whose slope...

    Text Solution

    |

  19. Consider any point P on the ellipse (x^(2))/(25)+(y^(2))/(9)=1 in the...

    Text Solution

    |

  20. The eccentricity of the hyperbola 16x^(2)-9y^(2)=1 is?

    Text Solution

    |

  21. The point on the parabola y^(2) = 4ax nearest to the focus has its abs...

    Text Solution

    |