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Two tangents to the circle `x^(2) +y^(2) = 4` at the points A and B meet at `P( -4, 0)`.The area of the quadrilateral PAOB where O is the origin is `:`

A

4

B

`6sqrt(2)`

C

`4sqrt(3)`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Chapter Test
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  2. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  3. Two tangents to the circle x^(2) +y^(2) = 4 at the points A and B meet...

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  4. A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touch...

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  5. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

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  6. If the points A(2, 5) and B are symmetrical about the tangent to the c...

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  7. The equation of the circle of radius 2 sqrt(2) whose centre lies on th...

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  8. Prove that the maximum number of points with rational coordinates on a...

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  9. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

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  10. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

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  11. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

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  12. A ray of light incident at the point ( -2,-1) gets reflected from the ...

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  13. The point on the straight line y = 2x + 11 which is nearest to the cir...

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  14. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

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  15. The equation of the circle which has a tangent 2x-y-1= 0 at P( 3,5) on...

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  16. The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2...

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  17. The normal at the point (3,4) on a circle cuts the circle at the poins...

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  18. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

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  19. A variable circle passes through the point A(a,b) and touches the x-a...

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  20. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

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