Home
Class 11
MATHS
Let C1 and C2 be two circles whose equat...

Let `C_1` and `C_2` be two circles whose equations are `x^2+y^2-2x=0` and `x^2+y^2+2x=0` and `P(lambda, lambda)` is a variable point . List 1 a) P lies inside C1 ​ but outside C2 ​ 2)P lies inside C2 ​ but outside C1 ​ c)P lies outside C1 ​ but outside C2 ​ d)P does not lie inside C2 ​ List 2 p)λ ϵ (−∞,−1)∪(0,∞) q)λ ϵ (−∞,−1)∪(1,∞) r)λ ϵ (−1,0) s)λ ϵ (0,1)

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Let C_1 and C_2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+30x +144=0 . The length of the shortest line segment PQ that is tangent to C_1 at P and to C_2 at Q is

Let C_1 and C_2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+30x +144=0 . The length of the shortest line segment PQ that is tangent to C_1 at P and to C_2 at Q is

Let C_1 and C_2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+30x +144=0 . The length of the shortest line segment PQ that is tangent to C_1 at P and to C_2 at Q is

Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 . Let Pa n dQ be the points (1, 2) and (2, 1), respectively. Then Q lies inside C but outside E Q lies outside both Ca n dE P lies inside both C and E P lies inside C but outside E

If circles x^(2)+y^(2)+2x+2y+c=0 and x^(2)+y^(2)+2ax+2ay+c=0 where c in R^(+), a != 1 are such that one circle lies inside the other, then

C1 and C2 are two concentric circles, the radius of C2 being twice that of C1. From a point P on C2, tangents PA and PB are drawn to C1. Then the centroid of the triangle PAB (a) lies on C1 (b) lies outside C1 (c) lies inside C1 (d) may lie inside or outside C1 but never on C1

If a, b are the roots of equation x^(2)-3x + p =0 and c, d are the roots of x^(2) - 12x + q = 0 and a, b, c, d are in G.P., then prove that : p : q =1 : 16

If b_1. b_2=2(c_1+c_2) then at least one of the equation x^2+b_1x+c_1=0 and x^2+b_2x+c_2=0 has a) imaginary roots b) real roots c) purely imaginary roots d) none of these

If p and q are the roots of the equation x^2-p x+q=0 , then (a) p=1,\ q=-2 (b) p=1,\ q=0 (c) p=-2,\ q=0 (d) p=-2,\ q=1

Let C_1 and C_2 are concentric circles of radius 1and 8/3 respectively having centre at (3,0) on the argand plane. If the complex number z satisfies the inequality log_(1/3)((|z-3|^2+2)/(11|z-3|-2))>1, then (a) z lies outside C_(1) but inside C_(2) (b) z line inside of both C_(1) and C_(2) (c) z line outside both C_(1) and C_(2) (d) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Column I|Column II The length of the common chord of two circles...

    Text Solution

    |

  2. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  3. Let C1 and C2 be two circles whose equations are x^2+y^2-2x=0 and x^2+...

    Text Solution

    |

  4. Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthes...

    Text Solution

    |

  5. If the line xcostheta+ysintheta=2 is the equation of a transverse comm...

    Text Solution

    |

  6. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |

  7. Statement 1 : The equation of chord through the point (-2,4) which is ...

    Text Solution

    |

  8. intdx/(x(x^5 + 1))

    Text Solution

    |

  9. Statement 1 : If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g^(prime)x...

    Text Solution

    |

  10. Find the greatest distance of the point P(10 ,7) from the circle x^2+y...

    Text Solution

    |

  11. Statement 1 : If the circle with center P(t ,4-2t),t in R , cut the c...

    Text Solution

    |

  12. Find the area of the region in which the points satisfy the inequaties...

    Text Solution

    |

  13. If points A and B are (1, 0) and (0, 1), respectively, and point C is ...

    Text Solution

    |

  14. If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...

    Text Solution

    |

  15. Column I|Column II If the circle lies in the first quadrant, the...

    Text Solution

    |

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

    Text Solution

    |

  17. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  18. Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch i...

    Text Solution

    |

  19. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

    Text Solution

    |

  20. If the radii of the circles (x-1)^2+(y-2)^2+(y-2)^2=1 and (-7)^2+(y-10...

    Text Solution

    |