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The locus of a point P which divides the...

The locus of a point P which divides the line joining `(1,0) and (2 costheta, 2 sintheta)` intermally in the ratio `1:2` for all `theta`. is

A

straight line

B

circle

C

pair of straight line

D

parabola

Text Solution

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The correct Answer is:
B
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FIITJEE-STRAIGHT LINE -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
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  3. If DeltaOAB is an equilateral triangle (O is the origin and A is a poi...

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  4. Let 2x - 3y = 0 be a given line and P (sintheta, 0) and Q(0, costheta)...

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  5. The sides of a rhombus ABCD are parallel to the lines x−y+2=0 and 7x−y...

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  9. The locus of a point P which divides the line joining (1,0) and (2 cos...

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  12. The algebraic sum of the perpendicular distance from A(x1,y1),B(x2,y2)...

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  13. If P = (1/xp,p),Q=(1/xq,q),R=(1/xr,r) where xkne0,k =p,q , r ne N , d...

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  15. The lines 2x + y -1=0, ax+ 3y-3=0 and 3x + 2y -2=0 are concurrent for ...

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  16. The difference of the tangents of the angles which the lines x^(2)(sec...

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  18. If the line y l=sqrt(3)x cuts the curve x^2=y^2+3x y+5x^2+3y^2+4x+5y-1...

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  19. Statement-1: The quadrilaterial whoe vertices (in order) are A(1,0), B...

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  20. Statement 1 : Equation of the pair of lines bisecting the angle betwee...

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