Home
Class 12
MATHS
The circle x^2+y^2=4 cuts the line joini...

The circle `x^2+y^2=4 `cuts the line joining the points `A(1, 0)` and `B(3, 4)` in two points `P` and `Q`. Let `(BP)/(PA)=alpha` and `(BQ)/(QA)=beta`. Then `alpha` and `beta` are roots of the quadratic equation

A

`x^(2)+2x+7=0`

B

`3x^(2)+2x-21=0`

C

`2x^(2)+3x-27=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 7|18 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^2+x+1=0 , then alpha^16 + beta^16 =

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

If alpha and beta (alpha lt beta) are the roots of the equation x^(2) + bx + c = 0 , where c lt 0 lt b , then

If alpha and beta are the roots of 4x^2 + 3x + 7 = 0 then the value of alpha beta

the image of the point A(2,3) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta), find alpha and beta

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

The chrods of contact of the pair of tangents to the circle x^(2)+y^(2)=1 dravwm from any point on the line 2x+y=4 paas through the point (alpha,beta) then find alpha and beta .

The image of the point A (1,2) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta) , then

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

alpha,beta and gamma are parametric angles of three points P, Q and R respectively, on the circle x^2 + y^2 = 1 and A is the point (-1, 0). If the lengths of the chords AP, AQ and AR are in GP, then cos alpha/2, cos beta/2 and cos gamma/2 are in

ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
  1. If (1+ax)^n = 1 + 8x + 24x^2 + … and a line through P(a, n) cuts the c...

    Text Solution

    |

  2. A region in the x-y plane is bounded by the curve y=sqrt(25-x^2) and t...

    Text Solution

    |

  3. S(x ,y)=0 represents a circle. The equation S(x ,2)=0 gives two identi...

    Text Solution

    |

  4. Let 0 lt alpha lt (pi)/(2) be a fixed angle . If p=(costheta, sin the...

    Text Solution

    |

  5. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  6. The point ( [ P+1 ] , [ P ] ) (where [.] denotes the greatest intege...

    Text Solution

    |

  7. A point P lies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. Th...

    Text Solution

    |

  8. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

    Text Solution

    |

  9. If a line segement A M=a moves in the plane X O Y remaining parallel t...

    Text Solution

    |

  10. Show that the four points of intersection of the lines : (2x-y + 1) (x...

    Text Solution

    |

  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  12. Let f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

    Text Solution

    |

  13. Find the points of intersection of the line 2x+3y=18 and the cricle x^...

    Text Solution

    |

  14. Find the solution of trigonometric equation sin4x=1.

    Text Solution

    |

  15. A, B C and D are the points of intersection with the coordinate axes o...

    Text Solution

    |

  16. alpha,beta and gamma are parametric angles of three points P, Q and R ...

    Text Solution

    |

  17. The equation of the circle passing through (2,0) and (0,4) and having ...

    Text Solution

    |

  18. Find the coordinates of the centroid of the triangle whose vertex are ...

    Text Solution

    |

  19. The circle x^2+y^2=4 cuts the line joining the points A(1, 0) and B(3,...

    Text Solution

    |

  20. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

    Text Solution

    |