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Q.

Match the following.

Column-I

Column-II

A)

Locus of point of intersection of perpendicular tangents to y2+4ax=0 is

P)

x = a

B)

Locus of P whose chord of contact subtends a right angle at vertex of  y2+4ax=0 is

Q)

x = 4a

C)

Common normal to y2+4ax=0 and x2=4ay

R)

x + 3a = 0

D)

Locus of P, if tangents from P to the parabola y2=4ax intersect coordinate axis in concyclic points

S)

x - y = 3a

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a

A  P; B  Q; C  S; D  P

b

A  R; B  P; C  Q; D  S

c

A  R; B  S; C  Q; D  P 

d

A  P; B  Q; C  R; D  S 

answer is A.

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Detailed Solution

detailed_solution_thumbnail

A)  x+a+b=0x+3a=0    B)  y2+4ax(yy1+2ax2ax1)=0;a+b=0x=4a
C) common normal is perpendicular to y = x 

D)  m1m2=1x=a

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