Home
Class 12
MATHS
An ellipse has point (1,-1)a n d(2,-1) a...

An ellipse has point `(1,-1)a n d(2,-1)` as its foci and `x+y-5=0` as one of its tangents. Then the point where this line touches the ellipse is `((32)/9,(22)/9)` (b) `((23)/9,2/9)` `((34)/9,(11)/9)` (d) none of these

A

`((34)/(9), (11)/(9))`

B

`((32)/(9), (13)/(9))`

C

`(-(34)/(9) , (79)/(9))`

D

`(-(32)/(9), (77)/(9))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 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

An ellipse has point (1,-1) and (2,-1) as its foci and x+y-5=0 as one of its tangents.Then the point where this line touches the ellipse is ((32)/(9),(22)/(9))( b) ((23)/(9),(2)/(9))((34)/(9),(11)/(9))(d) none of these

An ellipse has the points (1,-1) and (2,-1) as its foci and x+y=5 as one of its tangent then the value of a^(2)+b^(2) where a,b are the lenghta of semi major and minor axes of ellipse respectively is

Show that the point (9,4) lies outside the ellipse (x^(2))/(10)+(y^(2))/(9)=1

The mid point of the chord 16x+9y=25 to the ellipse (x^(2))/(9)+(y^(2))/(16)=1 is

The line 2x+3y=12 touches the ellipse (x^(2))/9+(y^(2))/4=2 at the points (3,2).

Find the equations of the tangents drawn from the point (2,3) to the ellipse 9x^(2)+16y^(2)=144

Find the equations of the lines with equal intercepts on the axes & which touch the ellipse (x^(2))/(16)+(y^(2))/(9)=1

The normal to the curve 2x^(2)+y^(2)=12 at the point (2,2) cuts the curve again at (A)(-(22)/(9),-(2)/(9)) (B) ((22)/(9),(2)/(9))(C)(-2,-2)(D) none of these

Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9 touches it.

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...

    Text Solution

    |

  2. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

    Text Solution

    |

  3. Let A be the area between co-ordinate axis, y ^(2) =x -1,x ^(2) =y -1 ...

    Text Solution

    |

  4. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  5. Consider the ellipse x^2/3 + y^2/1 = 1. Let P,Q,R,S be four points on ...

    Text Solution

    |

  6. If the curve (x ^(2))/(a ^(2)) + ( y ^(2))/(k^(2) a ^(2)) =1 and (x -g...

    Text Solution

    |

  7. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

    Text Solution

    |

  8. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |

  9. sin x + cos x = y ^(2) -y + a has no value of x for any y if 'a' belon...

    Text Solution

    |

  10. The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+...

    Text Solution

    |

  11. An electric pole stands at the vertex A of the equilateral triangular ...

    Text Solution

    |

  12. A pole on the ground leans 60^(@) to the vertical. At a point a meters...

    Text Solution

    |

  13. A 10 meters high tower is standing at the center of an equilateral tri...

    Text Solution

    |

  14. A spherical baloon of radius 50 cm, subtends an angle of 60^(@) at a m...

    Text Solution

    |

  15. PQ is a post of height a, AB is a tower of height h at a distance x fr...

    Text Solution

    |

  16. For each n in N, the correct statement is

    Text Solution

    |

  17. If P (n) = 2 + 4 + 6+…+ 2n, n in N then P(k) = k (k +1) + 2 implies P...

    Text Solution

    |

  18. For every positive integral value of n, 3 ^(n) gt n^(3) when

    Text Solution

    |

  19. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |

  20. The value of the natural numbers n such that 2 ^(n) gt 2n +1 is valid...

    Text Solution

    |