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TANGENT : Intersection point of line and Circle are Coincident.

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CHORD: Intersection Point of Line and Circle are Real and Distinct.

Intersection of line and Tangent to the parabola

Knowledge Check

  • The maximum number of points of intersection into which 4 circles and 4 straight lines intersect, is

    A
    26
    B
    50
    C
    56
    D
    72

  • The tangents to the curve y=(x-2)^(2)-1 at its points of intersection with the line x-y=3, intersect at the point:

    A
    `((5)/(2),1)`
    B
    `(-(5)/(2),-1)`
    C
    `((5)/(2),-1)`
    D
    `(-(5)/(2),1)`

  • A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65^@ at any point C on the circumference of the circle. If P is the point of intersection of the two lines, then the measure of /_APO is

    A
    `25^@`
    B
    `65^@`
    C
    `90^@`
    D
    `40^@`

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    Line L is tangent to unit circle S at point P .Point A and the circle S are on the same side of L and the distance from A to L is 3 units.Two tangents from point A intersect line L at point B and C then the value of PB.PC is equal to

    A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65^@ at any point C on the circumference of the circle. If P is the point of intersection of the two lines, then the measure of /_APO is

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