Home
Class 12
MATHS
Let the circles S(1)-=x^(2)+y^(2)+4y-1...

Let the circles
`S_(1)-=x^(2)+y^(2)+4y-1=0`
`S_(2)-= x^(2)+y^(2)+6x+y+8=0`
touch each other . Also, let `P_(1)` be the point of contact of `S_(1)` and `S_(2) `, `C_(1)` and `C_(2)` are the centres of `S_(1)`and`S_(2)` respectively.
The coordinates of `P_(1)` are

A

(2, -1)

B

(2, 1)

C

(-2, 1)

D

(-2, -1)

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise - 4 : Matching Type Problems|2 Videos
  • CIRCLE

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise - 5 : Subjective Type Problems|13 Videos
  • CIRCLE

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise - 2 : One or More than One Answer is/are Correct|10 Videos
  • BIONMIAL THEOREM

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|15 Videos
  • COMPLEX NUMBERS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

Similar Questions

Explore conceptually related problems

Let each of the circles S_(1)-=x^(2)+y^(2)+4y-1=0 S_(1)-= x^(2)+y^(2)+6x+y+8=0 S_(3)-=x^(2)+y^(2)-4x-4y-37=0 touch the other two. Also, let P_(1),P_(2) and P_(3) be the points of contact of S_(1) and S_(2) , S_(2) and S_(3) , and S_(3) , respectively, C_(1),C_(2) and C_(3) are the centres of S_(1),S_(2) and S_(3) respectively. The ratio ("area"(DeltaP_(1)P_(2)P_(3)))/("area"(DeltaC_(1)C_(2)C_(3))) is equal to

Let each of the circles, S_(1)=x^(2)+y^(2)+4y-1=0 , S_(2)=x^(2)+y^(2)+6x+y+8=0 , S_(3)=x^(2)+y^(2)-4x-4y-37=0 touches the other two. Let P_(1), P_(2), P_(3) be the points of contact of S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1) respectively and C_(1), C_(2), C_(3) be the centres of S_(1), S_(2), S_(3) respectively. Q. The co-ordinates of P_(1) are :

Knowledge Check

  • Let S_(1):x^(2)+y^(2)-2x=0andS_(2):x^(2)+y^(2)+6x-6y+2=0 Do these circles

    A
    touch intermally
    B
    `S_(1)` lies completely inside the other circle `S_(2)`
    C
    touch externally
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

    Let each of the circles, S_(1)=x^(2)+y^(2)+4y-1=0 , S_(2)=x^(2)+y^(2)+6x+y+8=0 , S_(3)=x^(2)+y^(2)-4x-4y-37=0 touches the other two. Let P_(1), P_(2), P_(3) be the points of contact of S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1) respectively and C_(1), C_(2), C_(3) be the centres of S_(1), S_(2), S_(3) respectively. Q. P_(2) and P_(3) are image of each other with respect to line :

    Show that the circle x^(2) +y^(2) - 6x -2y + 1 = 0, x^(2) + y^(2) + 2x - 8y + 13 = 0 touch each other. Find the point of contact and the equation of common tangent at their point of contact.

    Let P be a variable point on the ellipse with foci S_(1) and S_(2) . If A be the area of trianglePS_(1)S_(2) then find the maximum value of A

    Let PQ be the common chord of the circles S_(1):x^(2)+y^(2)+2x+3y+1=0 and S_(2):x^(2)+y^(2)+4x+3y+2=0 , then the perimeter (in units) of the triangle C_(1)PQ is equal to ("where, "C_(1)=(-1, (-3)/(2)))

    Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

    Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

    Let the circle S_1: x^2+y^2+(4+sintheta)x+(3costheta)y=0 and S_2: x^2+y^2+(3costheta)x+2c y=0 touch each other m is the maximum value of c if S_1=0 and S_2=0 tuch each other then [m] is equal to (where [.] denotes greatest integer function).