1Line L is through A. it is paragraph based question.
Let ABCD be a square of side of length 2 units . C2 is the circle through vertices A,B,C,D and C1 is the circle touching all the sides of the square ABCD . L is a line through A
then
1) If P is a point on C1 And Q is another point on C2
then
(PA)2+(PB)2+(PC)2+(PD)2/(QA)2+(QB)2+(QC)2+(QD)2=
a)0.75 b)1.25
c)1 d)0.5
2)A Circle touching the line L and the circle C1 externally such that both the circles are on the same side of the line then the locus of the centre of the cirlce is
A)ellipse B)hyperbola
C)parabola D) parts of straight line
3) A line M through is drawn parallel to BD. Point S moves such that the distances from the line BD and the vertex A are equal. if the locus of S cuts M at T2 and T3 and AC at T1 then area of deltaT1T2T3
A)1/2 sq. units
B) 2/3 sq.units
C)1 sq.unit
D) 2 sq. unit
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14 Answers
1see . L can have any slope . and given circles touch externally .
implies the line join of centres has same slope as that of the line. does this work ?
11HEY GUYS ITS A PAST YEAR IIT QUE(2006)
GIVE IT A TRY
I HAVE SOLVED IT AND 2ND ONE WAS WRONG