Home
Class 12
MATHS
If the line x + y -1=0 is a tangent to a...

If the line `x + y -1=0` is a tangent to a parabola with focus `(1,2)` at A and intersect the directrix at B and tangebt at vertex at C respectively, then `AC.BC` is equal to

A

2

B

1

C

`1/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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

The line x+y+2=0 is a tangent to a parabola at point A, intersect the directrix at B and tangent at vertex at C respectively.The focus of parabola is S(2,0). Then

The equation of the parabola with focus (1,-1) and directrix x + y + 3 =0 is

Vertex of the parabola with focus (a,b) and directrix (x)/(a)+(y)/(b)=1 will be be

If x+y=0,x-y=0 are tangents to a parabola whose focus is (1,2) Then the length of the latusrectum of the parabola is equal

Find the equation of parabola whose focus is (0,1) and the directrix is x+2=0. Also find the vertex of the parabola.

Find the equation of parabola whose focus is (0,1) and the directrix is x+2=0. Also find the vertex of the parabola.

Find the equation of the parabola whose focus is at (-1,-2) and the directrix the line x-2y+3=0

If the focus of the parabola is (-2,1) and the directrix has the equation x+y=3 then the vertex is

If 2x-y+1=0 is a tangent on the parabola which intersect its directrix at (1,3) and focus is (2,1) ,then equation of axis of parabola is

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. For x in R, the maximum value of sqrt(x^4 - 5x^2 – 8x + 25) - sqrt( x^...

    Text Solution

    |

  2. How many tangents to the circle x^2 + y^2 = 3 are normal tothe ellips...

    Text Solution

    |

  3. If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |