Home
Class 12
MATHS
If the point (2,k) lies outside the circ...

If the point `(2,k)` lies outside the circles `x^2+y^2+x+x-2y-14=0a n dx^2+y^2=13"t h e nk"` lies in the interval `(-3,-2)uu(3,4)` (b) `(-3,4)` (c) `(-oo,-3)uu(4,oo)` (d) `(-oo-2)uu(3,oo)`

A

`Kin ]-oo, -2 [U] 3, oo[`

B

`K in ]-3,-2[U]3,4[`

C

`Kin ]-3,-4[`

D

`K in ]-oo, -3 [U]4,oo[`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|56 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

If the point (2,k) lies outside the circles x^(2)+y^(2)+x-2y-14=0andx^(2)+y^(2)=13 then k lies in the interval (-3,-2)uu(3,4)(b)(-3,4) (c) (-oo,-3)uu(4,oo)(d)(-oo-2)uu(3,oo)

The point (1,2) lies inside and (3,4) outside the circle x ^(2) +y ^(2) - 7x + 15 y - c =0, if

If the point (lambda,lambda+1) lies inside the region bounded by the curve x=sqrt(25-y^(2)) and y-a xi s, then lambda belongs to the interval (-1,3)( b) (-4,3)( c) (-oo,-4)uu(3,oo)(d) none of these

If a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0, then the set of values of a is (A) (-oo,3)uu((9)/(2),oo) (B) (3,(9)/(2)) (B) (-oo,3) (D) ((9)/(2),oo)

If the function f(x)=2x^(2)-kx+5 is increasing on [1,2], then k lies in the interval (a) (-oo,4)(b)(4,oo)(c)(-oo,8)(d)(8,oo)

If |x-1|>5, then x in(-4,6) b.x in[-4,6] c.x in(-oo,-4)uu(6,oo) d.x in(-oo,-4)uu[6,oo)

x^2/(p^2 - P-6) + y^2/(P^2 - 6P + 5) = 1 will represent the ellipse if P lies in the interval (A) (-oo, -2) (B) (1, oo) (C) (3, oo) (D) (5, oo)

If the point (1,a) lies in between the lines x+y=1 and 2(x+y)=3 then a lies in (i)(-oo,0)uu(1,oo)(ii)(0,(1)/(2))(iii)(-oo,0)uu((1)/(2),oo)(iv) none of these

The domain of the function f(x)=(sin^(-1)(3-x))/(In(x)-2))is[2,4](b)(2,3)uu(3,4](c)(0,1)uu(1,oo)(d)(-oo,-3)uu(2,oo)

If two chords drawn from the point A(4,4) to the parabola x^(2)=4y are bisected by the line y=mx, the interval in which m lies is (a) (-2sqrt(2),2sqrt(2))( b) (-oo,-sqrt(2))uu(sqrt(2),oo)(c)(-oo,-2sqrt(2)-2)uu(2sqrt(2)-2,oo)(d) none of these

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(...

    Text Solution

    |

  2. If a circle of area 16pi has two of its diameters along the line 2x -...

    Text Solution

    |

  3. The circle passing through (t,1), (1,t) and (t,t) for all values of t ...

    Text Solution

    |

  4. The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 wil...

    Text Solution

    |

  5. If the point (2,k) lies outside the circles x^2+y^2+x+x-2y-14=0a n dx^...

    Text Solution

    |

  6. The shortest distance between the circles x ^(2) + y ^(2) =1 and (x-9)...

    Text Solution

    |

  7. Find the parametric equations of the circles x^(2)+y^(2)=16.

    Text Solution

    |

  8. The circle x^2 + y^2 - 6x - 10y + p = 0 does not touch or intersect th...

    Text Solution

    |

  9. The equation of a circle of area 22pi square units for which each of t...

    Text Solution

    |

  10. If a chord of a circle x ^(2) +y ^(2) =4 with one extermity at (1, sqr...

    Text Solution

    |

  11. Consider L (1) : 3x + y + alpha -2 =0 and L (2) : 3 x + y -alpha + 3 =...

    Text Solution

    |

  12. If a circle has two of its diameters along the lines x+y=5 and x-y=1 a...

    Text Solution

    |

  13. The number of integer values of k for which the equation x^2 +y^2+(k-1...

    Text Solution

    |

  14. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

    Text Solution

    |

  15. The equation of a circle, which is mirror change of the circle x ^(2) ...

    Text Solution

    |

  16. Two parallel chords are drawn on the same side of the centre of a circ...

    Text Solution

    |

  17. Let C be the circle whose diameter is the line segment formed by the l...

    Text Solution

    |