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If a line is drawn through a point A(3,4...

If a line is drawn through a point A(3,4) to cut the circle `x^(2)+y^(2)=4` at P and Q then AP .AQ=

A

15

B

17

C

21

D

25

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE -I
  1. The power of (1,1) with respect to the circle x^(2)+y^(2)-4x+3y+k=0 i...

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  2. The equation of the circle with centre (3,2) and the power of (1,-2) w...

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  3. If a line is drawn through a point A(3,4) to cut the circle x^(2)+y^(2...

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  4. A chord through P cut the circle x^(2)+y^(2)+2gx+2fy+c=0 in A and B an...

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  5. A chord of length 24 units is a distance of 5 units from the centre of...

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  6. The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tan...

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  7. The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y...

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  8. The length of the tangent from (1,1) to the circle 2x^(2)+2y^(2)+5x+3y...

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  9. If P is a point such that the ratio of the squares of the lengths of t...

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  10. The locus of the point from which the length of the tangent to the cir...

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  11. The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1...

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  12. The tangent to the circle x^(2)+y^(2)-4x+2y+k=0 at (1,1) is x-2y+1=0 t...

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  13. The equation of the tangents to the circle x^(2)+y^(2)=25 with slope 2...

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  14. The equation of the tangents to the circle x^(2)+y^(2)=4 which are par...

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  15. The point of contact of y=x+3sqrt(2) with x^(2)+y^(2)=9 is

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  16. The circle to which two tangents can be drawn from origin is

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  17. The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-...

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  18. The number of tangents to the circle x^(2)+y^(2)=5, that can be drawn ...

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  19. The circle with centre (4,-1) and touching x-axis is

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  20. Circle touching both the axes and radius 5 is

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