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

A point P is taken on the circle `x^(2)+y^(2)=a^(2)` and PN, PM are draw, perpendicular to the axes. The locus of the pole of the line MN is

A

`x^(2)+y^(2)=a^(2)`

B

`x^(-2)+y^(-2)=2x^(-2)`

C

`x^(-2)-y^(-2)=a^(-2)`

D

`x^(-2)+y^(-2)=a^(-4)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-EXERCISE II
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  2. The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t t...

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  3. A point P is taken on the circle x^(2)+y^(2)=a^(2) and PN, PM are draw...

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  4. The inverse point of (2,-3) w.r.t to circle x^(2)+y^(2)+6x-4y-12=0 is

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  5. If the inverse of P(-3,5) w.r.t to a circle is (1,3) then polar of P w...

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  6. The inverse point of (1,2) origin w.r.t. the circle x^(2)+y^(2)-4x-6y+...

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  7. If the tangent at (3,-4) to the circle x^(2)+y^(2)-4x+2y-5=0 cuts the ...

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  8. The least length of chord passing through (2,1) of the circle x^(2)+y^...

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  9. The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which...

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  10. The locus of the mid points of the chords of x^(2)+y^(2)=a^(2) which ...

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  11. Locus of mid points of chords to the circle x^(2)+y^(2)-8x+6y+20=0 whi...

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  12. From origin chords are drawn to the cirlce x^(2)-y^(2)-2px=0 then locu...

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  13. The equation to the locus of the midpoints of chords of the circle x^(...

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  14. The locus of the midpoint of the chord of the circle x^(2)+y^(2)-2x-2y...

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  15. Let C be the circle with centre (0,0) and radius 3 units. The equation...

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  16. From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0, a chord AB i...

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  17. The parametric equations x=(2a(1-t^(2)))/(1+t^(2)) and y=(4at)/(1+t^(...

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  18. If (pi)/6 and (pi)/2 are the ends of chord of the circle x^(2)+y^(2)=1...

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  19. If a straight line through C(-sqrt(8),sqrt(8)) making an asngle 135^(@...

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  20. The loucs of the point of intersection of the tangents to the circle x...

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