Q.

From the point P(4, –4) tangents PA and PB are drawn to the circle x2+y26x+2y+5=0 whose centre is C then match the following

COLUMN - ICOLUMN - II
(A)Length of ABp)5/2
(B)Tangent of the angle between PA and PCq)10
(C)Area of triangle PABr)1
(D)Absolute difference of slopes of PA and PBs)3/4
 ABCD
1)qrpp
2)rqpp
3)prqp
4)qqrp

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

A) length of chord of contact

AB=2rS11S11+r2=25510=10

B) tanθ/2=rS11=55=1

C) Area of Ole =rS113/2S11+r2=52

D) Let PA be y+4=m(x4);r=dm=2 or 12

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