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The number of common tangents that can b...

The number of common tangents that can be drawn to the circles `x^(2)+y^(2)-4x+6y+8=0, x^(2)+y^(2)-10x-6y+14=0`

A

touch internally

B

touch externally

C

intersecting at two points

D

are such that one completely lies outside the other

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The number of common tangents that can be drawn to the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-6y+6=0 is

    A
    1
    B
    2
    C
    3
    D
    4

  • The number of tangents that can be drawn from (6,0) to the circle x^(2)+y^(2)-4x-6y-12=0 are

    A
    4
    B
    3
    C
    1
    D
    2

  • The set of all real values of lambda for which exactly two common tangents can be drawn to the circle x^(2) +y^(2) -4x -4y +6=0 and x^(2) +y^(2) -10 x-10 y +lambda =0 is the interval

    A
    `( 12,32) `
    B
    ` ( 18, 42) `
    C
    ` ( 12,24)`
    D
    `( 18, 48 )`

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