Home
Class 12
MATHS
If (a, 0) is a point on a diameter of th...

If (a, 0) is a point on a diameter of the circle `x^(2)+y6(2)=4`, then the equation `x^(2)-4x-a^(2)=0` has

A

exactly one real root in `(-1,0)`

B

exactly one rela root in `[2,5]`

C

distinct roots greater than `-1`

D

distinct roots less than 5

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise PARAGRAPH BASED (MULTIPLE CHOICE)|34 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|23 Videos
  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 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

If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4 , then the equation x^(2)-4x-a^(2)=0 has

If (t,0) is point on diameter of circle x ^(2) + y ^(2) =4, then the equation x ^(2) - 4x - t ^(2)=0 has

One of the diameter of the circle x^(2)+y^(2)-2x+4y-4=0 , is

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)-6x+2y=0

The line x+3y=0 is a diameter of the circle x^(2)+y^(2)+6x+2y=0

If (1,2)(2,a) are extremities of a diameter of the circle x^(2)+y^(2)-3x-4y+6=0 then a=

The length of the diameter of the circle x^(2)+y^(2)-4x-6y+4=0 is -

One of the diameters of the circle x^(2)+y^(2)-12x+4y+6=0 is given by

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

FIITJEE-MATHEMATICS -MCQ (MULTIPLE CORRECT)
  1. A circle of radius r,r ne 0 touches the parabola y ^(2) + 12 x =0 at t...

    Text Solution

    |

  2. The equation of AB,BC, AC three sides of a triangle are -x + y -1 =0, ...

    Text Solution

    |

  3. If (a, 0) is a point on a diameter of the circle x^(2)+y6(2)=4, then t...

    Text Solution

    |

  4. The equation(s) of the tangent at the point (0,0) to the circle, makin...

    Text Solution

    |

  5. A tangent is drawn at any point (l,m) l, m ne 0 on the parabola y ^(2)...

    Text Solution

    |

  6. a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One ...

    Text Solution

    |

  7. If sqrt(1- sin A)= sin "" A/2 - cos "" A/2 could lie in quadrant

    Text Solution

    |

  8. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then x=pi/4 (b) y=0 y=1 ...

    Text Solution

    |

  9. If sin(picostheta)=cos(pis intheta),t h e ns in2theta= +-3/4 (b) +-4...

    Text Solution

    |

  10. AB and CD are two equal and parallel chords of the ellipse (x ^(2))/(a...

    Text Solution

    |

  11. In a triangle with sides, a,b, and c a semicircle toughing the sides A...

    Text Solution

    |

  12. In Delta ABC, sec A, sec B, sec C are in harmonic progression, then

    Text Solution

    |

  13. If in a triangle ABC, b cos ^(2) "" A/2 + a cos ^(2) "" B/2 = (3c)/(2)...

    Text Solution

    |

  14. If the roots of the equation c^(2)x^(2)- c(a+b)x + ab =0 are sin A, s...

    Text Solution

    |

  15. If in a triangle ABC, CD is the angular bisector of the angle ACB then...

    Text Solution

    |

  16. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

    Text Solution

    |

  17. If the conics whose equations are S1:(sin^2theta)x^2+(2htantheta)x y+(...

    Text Solution

    |

  18. If z = sec^(-1) (x + 1/x) + sec^(-1) (y + 1/y), where xy< 0, then the ...

    Text Solution

    |

  19. If a,b,c are the sides of triangle then (a)/(c +a -b) + (b)/(a +b -c) ...

    Text Solution

    |

  20. If (5,12)a n d(24 ,7) are the foci of a hyperbola passing through the ...

    Text Solution

    |