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Let y=mx+c be a common tangent to (x^(2...

Let `y=mx+c` be a common tangent to `(x^(2))/(16)-(y^(2))/(9)=1 and (x^(2))/(4)+(y^(2))/(3)=1`, then find the value of `m^(2)+c^(2)`.

A

6

B

1

C

8

D

7

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A common tangent to 9x^(2)-16y^(2)=144and x^(2)+y^(2)=9 is

    A
    `y=(3)/(sqrt(7))x+(15)/(sqrt(7))`
    B
    `y=3sqrt((2)/(7))x+(15)/(sqrt(7))`
    C
    `y=2sqrt((3)/(7))x+15sqrt(7)`
    D
    none of these

  • A common tangent to 9x^(2) - 16y^(2) = 144 and x^(2) + y^(2) = 9 is

    A
    `y sqrt(7) = sqrt(2)x + 15`
    B
    `ysqrt(7) = 3sqrt(2)x + 15`
    C
    `y = 3sqrt(2)x + 15`
    D
    `ysqrt(7) = 3x + 15`

  • The common tangent to 9x^(2)-4y^(2)=36 and x^(2)+y^(2)=3 is

    A
    `y-2sqrt(3x)-sqrt(39)=0`
    B
    `y+2sqrt(3x)+sqrt(39)=0`
    C
    `y-2sqrt(3x)+sqrt(39)=0`
    D
    none of these

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