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If m(1),m(2) are the slopes of tangents ...

If `m_(1),m_(2)` are the slopes of tangents to the ellipse `S=0` drawn from `(x_(1),y_(1))` then `m_(1)+m_(2)`

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Knowledge Check

  • If m_1 and m_2 are the slopes of tangents to the circle x^2+y^2=4 from the point (3,2), then m_1-m_2 is equal to

    A
    `5/(12)`
    B
    `(12)/5`
    C
    `3/2`
    D
    0

  • If m_(1) and m_(2) are slopes of the tangents to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 which passes through (5, 4), then the value of (m_(1)+m_(2))-(m_(1)m_(2)) is equal to

    A
    `(47)/(9)`
    B
    `-(40)/(6)`
    C
    `(22)/(3)`
    D
    `(11)/(3)`

  • If m_1,m_2 are the slopes of the two tangents that are drawn from (2,3) to the parabola y^2=4x , then the value of 1/m_1+1/m_2 is

    A
    -3
    B
    3
    C
    `2/3`
    D
    `3/2`

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    If m_(1)&m_(2) are the slopes of the tangents to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 which passes through the point (4,2), find the value of (i)m_(1)+m_(2)&(ii)m_(2)m_(2)

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