Home
Class 12
MATHS
Portion of asymptote of hyperbola x^2/a^...

Portion of asymptote of hyperbola `x^2/a^2-y^2/b^2 = 1` (between centre and the tangent at vertex) in the first quadrant is cut by the line `y + lambda(x-a)=0` (lambda is a parameter) then (A) `lambda in R` (B) `lambda in (0,oo)` (C) `lambda in (-oo,0)` (D) `lambda in R-{0}`

Text Solution

Verified by Experts

The correct Answer is:
`therefore lamda in (0,oo)`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)|130 Videos

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Portion of asymptote of hypebola (x^(2))/(a^(2)) - (y ^(2))/(b ^(2)) =1 (between centre and the tangent at vertex) in the first quadrant is cut by the y + lamda (x -b) = 0 (lamda is a parameter then

If the portion of the asymptote between the cnetre and the tangent at the vertex of the hyperbola (x ^(2))/(a^(2)) - (y ^(2))/(b ^(2)) =1 in the third quadrant is cut by the line y + lamda (x + a) = 0, lamda being parameter, then

The locus of the point x=a+lambda^(2),y=b-lambda where lambda is a parameter is

det [[lambda ^ (4) +2 lambda ^, 2 lambda ^ (3) -3,3 lambda ^ (2) + lambda2,3,15,0,2]] = a lambda ^ (4) + b lambda ^ (3) + c lambda ^ (2) + d lambda + e

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0 (lambda in R'), is

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0lambda in R, is

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

Let a,b,c be the sides of a triangle. No two of them are equal and lambda in R If the roots of the equation x^2+2(a+b+c)x+3lambda(ab+bc+ca)=0 are real, then (a) lambda 5/3 (c) lambda in (1/5,5/3) (d) lambda in (4/3,5/3)

The value of the lambda if the lines (2+3y+4)+lambda(6x-y+12)=0 are

FIITJEE-MATHEMATICS -NUMERICAL DECIMAL BASED QUESTIONS
  1. Portion of asymptote of hyperbola x^2/a^2-y^2/b^2 = 1 (between centre ...

    Text Solution

    |

  2. If the equation ax ^(2) - 6xy +y ^(2) + 2gx + 2fy + x =0 represents a ...

    Text Solution

    |

  3. If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)...

    Text Solution

    |

  4. If a circle having centre at (alpha, beta) cut the circles x^2 + y^2 -...

    Text Solution

    |

  5. If ABC is a triangle such that A= (1,2) and B = (5,5) with BC =9 and ...

    Text Solution

    |

  6. The centres of three circles A, B and C can collinear with the centre ...

    Text Solution

    |

  7. PQ is chord of contract of tangents from point T to a parabola. If PQ ...

    Text Solution

    |

  8. The circum circle of triangle ABC is x^2 +y^2-5x-4y + 6=0 , if a parab...

    Text Solution

    |

  9. Coordinates of the point on the stratight line x +y =4, which is neare...

    Text Solution

    |

  10. The latus rectum of a conic section is the width of the function throu...

    Text Solution

    |

  11. If QR is chord contact when two tangents are drawn from origin to the ...

    Text Solution

    |

  12. If sum (r =1) ^(n) (cos (2rx))/(sin (r x + (pi)/(4)))= (2 sin (50x)sin...

    Text Solution

    |

  13. The number of distinct solution of cos(x)/(4)=cos(x) in x in [0,24 pi...

    Text Solution

    |

  14. In Delta ABC, a ^(2) + c^(2)= 2002 b ^(2) then (cotB)/(cot A + cotC) ...

    Text Solution

    |

  15. Let O be the circumcentre of acute angled Delta ABC and let r (1) ,r (...

    Text Solution

    |

  16. If in triangle A B C ,sumsinA/2=6/5a n dsumI I1=9 (where I1,I2a n dI3 ...

    Text Solution

    |