Home
Class 12
MATHS
Let number of points of intersection an...

Let number of points of intersection and number of common tangents of two circles `x^(2) + y^(2) - 6x - 2y + 1 = 0` and `x^(2) + y^(2) + 2x - 6y + 9 = 0` be m and n respectively. Which of the following is/are

A

m + n = 4

B

n – m = 4

C

m n = 4

D

`m^(n) + n^(m) = 1`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced)|49 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 3 (Subjective | JEE Advanced) Matrix Match Type|1 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 2(Level - I) (Objective Problems | JEE Main)|39 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

The number of common tangents of the circles x^(2) + y^(2) – 2x – 1 = 0 and x^(2) + y^(2) – 2y – 7 = 0

The equation (s) of common tangents (s) to the two circles x^(2) + y^(2) + 4x - 2y + 4 = 0 and x^(2) + y^(2) + 8x - 6y + 24 = 0 is/are

The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 , is

The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2) +y^(2) -2y = 0 is :

The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x^(2)+y^(2)-2y-7=0 , is

Number of common tangents to the circles C_(1):x ^(2) + y ^(2) - 6x - 4y -12=0 and C _(2) : x ^(2) + y ^(2) + 6x + 4y+ 4=0 is

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is