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If a,b,c are in G.P with common ration r,the sum of the ordinates of the points of intersection of line ax+by+c=0 and the curve x+2y²=0 is
(a)-r²/2
(b)-r/2
(c)r/2
(d)r²/2

#Mathematics #Co-ordinate Geometry

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5 Answers

nix_13 12 ·2009-04-24 01:43:34

plz answer

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Â°áƒ¦â€¢à¹“ÑÏ…Î ·2009-04-24 01:48:44

let a' b c be a/r a ar

so nw

intersction o fline n curve is a'2y^2-by-c=0

sum of d ordinates

ie roots is

y1+y2= b/2a'

b/2a' =a/2(a/r) =r/2

bt wat we need is engative of thsis so answer is c /......ie r/2

cheero~

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virang1 Jhaveri ·2009-04-24 01:53:13

let
b = ar
c = ar²
THerefore

x + ry + r² = 0
x = - 2 y²
-2y² + ry + r² = 0

Î£y = -b/a
Î£y = -r/(-2r)
Î£y = r/2

There fore option c

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nix_13 12 ·2009-04-24 23:08:27

last three steps explain karo....

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Â°áƒ¦â€¢à¹“ÑÏ…Î ·2009-04-24 23:29:59

c post 1#

i did a silly mistake i mean i tookk x =2Y2 instead of -2Y2

:( nw edited

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