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A point P lies on the circle x^(2) + y^...

A point P lies on the circle `x^(2) + y^(2) = 169 ` . If Q = (5 , 12) and R = (-12 , 5) , then the angle `angleQPR` is _

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • A point P lines on the circle x^2+y^2=169 . If Q = (5, 12) and R= (-12, 5) , then angle angleQPR is

    A
    `pi/6`
    B
    `pi/4`
    C
    `pi/3`
    D
    `pi/2`

  • The triangle PQR is inscribed in the circle x^2+y^2=25 . If Q and R have coordinates (3,4) and (-4,3) respectively, then angleQPR is equal to

    A
    `pi/2`
    B
    `pi/3`
    C
    `pi/4`
    D
    `pi/6`

  • If the tangent at the point P on the circle x^2+y^2+6x+6y=2 meets the straight line 5x - 2y + 6 = 0 at a point on the y-axis, then the length of PQ is

    A
    4
    B
    `2sqrt5`
    C
    5
    D
    `3sqrt5`

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