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Om Figure, lines P Q and R S intersect e...

Om Figure, lines `P Q` and `R S` intersect each other at point `Odot` If `/_P O R:/_R O Q=5:7,` find all the angles. Figure

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Explore conceptually related problems

Lines PQ and RS intersect each other at point O. If /_POR:/_ROQ=5:7, find all the angles.

Two lines AB and CD intersect each other at a point O such that angleAOC : angleAOD=5 : 7 . Find all the angles.

Knowledge Check

  • P and Q are two points on a circle with centre at O. R is a point on the minor arc of the circle, between the points P and Q. The tangents to the circle at the points P and meet each other at the point S. If /_PSQ = 20^@ , then /_PRQ = ?

    A
    `80^@`
    B
    `200^@`
    C
    `160^@`
    D
    `100^@`

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    Explore conceptually related problems

    In the figure the bisectors of /_P and /_Q intersect to each other at a point R. Prove that /_PRQ=90^(@).

    In Fig. 6.42, if lines PQ and RS intersect at point T, such that /_P R T=40^@, /_R P T=95^@ and /_T S Q=75^@, find /_S Q T .

    P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

    In the figure, two circles intersect each other in points P and Q. If tangent from point R touch the circles at S and T, then prove that RS=RT.

    In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot

    In Figure,/_PQR=100^(@), where P,Q and R are points on a circle with centre. O.Find /_OPR

    Observe the figure and write the coordinates of points P,Q,R and S.

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