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The circle x^2+y^2=4 cuts the line joini...

The circle `x^2+y^2=4 `cuts the line joining the points `A(1, 0)` and `B(3, 4)` in two points `P` and `Q`. Let `BP`/`PA`=`alpha` and `BQ`/`QA`=`beta`. Then `alpha` and `beta` are roots of the quadratic equation

A

`x^(2)+2x+7=0`

B

`3x^(2)-16x+21=0`

C

`2x^(2)+3x-27=0`

D

None of these

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-CIRCLE -Exercise (Single Option Correct Type Questions)
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  6. The point ( [P + 1] , [P] ) (where [.] denotes the greatest integer fu...

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  7. A point Plies inside the circles x^2+y^2-4=0 and x^2+y^2-8x+7=0. The...

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  8. The set of values of 'c' so that the equations y=|x|+c andx^(2)+y^(2)-...

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  9. If a line segement A M=a moves in the plane X O Y remaining parallel t...

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  10. Show that the four points of intersection of the lines : (2x-y + 1) (x...

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  11. Find the number of integral values of lambda for which x^2+y^2+lambdax...

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  12. Let phi(x,y)=0 be the equation of a circle. If phi(0,lamda)=0 has equa...

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  13. Find the locus of the point of intersection of tangents to the circle ...

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  14. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

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  15. A, B C and D are the points of intersection with the coordinate axes o...

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  16. alpha,beta and gamma are parametric angles of three points P, Q and R ...

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  17. The equation of the circle passing through (2,0) and (0,4) and having ...

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  18. A circle of radius unity is centered at thet origin. Two particles tar...

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  19. The circle x^2+y^2=4 cuts the line joining the points A(1, 0) and B(3,...

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  20. The locus of the mid points of the chords of the circle x^2+y^2+4x-6y-...

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