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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

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The correct Answer is:
C
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. A chord of length 8 units is at a distance of 4 uits from the centre o...

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

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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. The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2...

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  5. The equation of the cirlce with centre (0,0) and which cuts off a chor...

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  6. The line y=mx+c intersects the circle x^(2)+y^(2)=r^(2) in two distin...

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  7. If a chord of the circle x^(2)+y^(2)=16 makes equal intercepts of leng...

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  8. The pair of tangents from (2,1) to the circle x^(2)+y^(2)=4 is

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

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  10. The line y=mx+c touches x^(2)+y^(2)=a^(2)hArr

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  11. The radius of the circle which has the lines x+y-1=0, x+y-9=0 as tange...

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  12. Equation of the tangent to the circle x^(2)+y^(2)=3, which is inclined...

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  13. Find the equation of the normal to the circle x^(2) +y^(2) -4x -6y ...

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  14. The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2...

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  15. P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0. The equation t...

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  16. The line x cos alpha+y sin alpha=p touches the circle x^(2)+y^(2)-2ax ...

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  17. The equation of the tangent to the circle x^(2)+y^(2)+4x-4y+4=0 which ...

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  18. The tangent at (3,4), (4,-3) to the circle x^(2)+y^(2)=25" are"

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  19. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  20. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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