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Each side of DeltaABC is the polarof the...

Each side of `DeltaABC` is the polarof the opposite vertex with respect to a circle with centre P. For the `DeltaABC` the point P is

A

centroid

B

circum centre

C

incentre

D

ortho centre

Text Solution

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The correct Answer is:
D
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Write the side opposite to vertex Q in /_\PQR

Write the side opposite to vertex Y in /_\XYZ

Assertion (A) : The radius of the circle inscribed in the triangle obtained by joining the middle points of the sides of DeltaABC is equal to half the radius of incircle of DeltaABC Reasons (R): In DeltaABC D, E, F be midpoints of the sides of DeltaABC, Delta 2s s denote area and perimeter of DeltaDEF then Delta=Delta//4= and s=s//2

Vertex opposite to the side RT of /_\ RST -

AAKASH SERIES-CIRCLES-EXERCISE II
  1. The polars of two points A(1,3), B(2,-1) w.r.t to circle x^(2)+y^(2)=9...

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  2. The polars of points (1,7) (2,6) and (t,5) with respect to a circle co...

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  3. Each side of DeltaABC is the polarof the opposite vertex with respect ...

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  4. The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(...

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  5. Assertion (A): The polar of centre of circle w.r.t same circle does no...

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  6. Assertion (A): A line through the point P(5,10) cut the line x+2y=5 at...

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  7. The polar of a point P w.r.t. a circle of radius a touching both x and...

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  8. If the length of the tangent from two points A,B to a circle are 6,7 r...

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  9. For the circle x^(2)+y^(2)-2x-4y-4=0, then lines 2x+3y-1=0, 2x+y+5=0 a...

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  10. The conjugate line 3x+4y-45=0 with respect to x^(2)+y^(2)-6x-8y+5=0 wh...

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  11. The locus of the poles of the line ax+by+c=0 w.r.t a system of circles...

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  12. The locus of poles of tangents to the circle x^(2)+y^(2)=a^(2) w.r.t t...

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

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

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

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

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

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

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

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