Hanus

points Q (10,8) and R (24,10) are the endpoints of a diameter of a circle centered at P. Line l is tangent to the circle at S (12,14). What is the y-intercept of line l?

  1. 👍 0
  2. 👎 0
  3. 👁 164
  1. centre of circle is (17,9)
    so slope of radius to tangent = (14-9)/(12-17) = 5/-5 = -1
    so the slope of the tangent is +1 (the negative reciprocal)

    equation of tangent:
    y-14 = +1(x-12)
    y = x - 12 + 14
    y = x + 2

    the y-inercept is 2

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Which one of these is NOT a step used when constructing an inscribed square using technology? A. Create a circle using the center with given points tool. B. Connect the points with a line through the center of the circle. C. Mark

  2. Geometry midpoint formula

    A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle? What is the radius of the circle? Identify the coordinates of another point on the circle.

  3. math

    ABCDE is a circle with centre O. The diameter, AC, is extended to the point F so that CF = 16 cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD = 18 cm and chord DE = 14 cm (D and E are

  4. Mirielle

    The endpoints of the diameter of a circle are (-6,2) and (10,-2). What are the coordinate of the center of the circle?

  1. Geometry

    Points $A$ and $B$ are on a circle centered at $O$, and point $P$ is outside the circle such that $\overline{PA}$ and $\overline{PB}$ are tangent to the circle. If $\angle OPA = 32^{\circ}$, then what is the measure of minor arc

  2. GEOMETRY

    The diameter of a circle has endpoints P(–10, –2) and Q(4, 6). a.Find the center of the circle. b.Find the radius. If your answer is not an integer, express it in radical form. c.Write an equation for the circle.

  3. math

    Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord. True. Every diameter of a circle is a chord. This is true because every diameter

  4. Geometry

    Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can

  1. geometry

    If the endpoints of the diameter of a circle are (3, 1) and (6, 5), find the length of the diameter.

  2. Mathematics

    The diameter of a circle has endpoints at (-2,3) and (6,3). What is an equation of the circle?

  3. math

    in circle p below the lengths of the parallel chords are 20,16, and 12. Find measure of arc AB..... the chord with a length of 20 is the diameter. the chords with lengths 16 and 12 are below the diameter torwards the bottom of the

  4. Geometry

    The endpoints of a diameter of a circle are A(2,1) and B(5,5. Find the area of the circle in terms of pi.

You can view more similar questions or ask a new question.