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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: circles
Forum Index -> Analytical Geometry like the article? email it to a friend.  
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amulye (173)

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d length of d chord of d circle  x^2+y^2+4x-7y+12=0 along d y-axis is ...........
 
d no.of  points with integral co-ordinates dat r integral coordinates dat r interior to d circle x^2+y^2=16
 
P(rt2,rt2) is a point on d circle x^2+y^2=4 & Q is another point on  d circle  such dat arc PQ=1/4 (circumcircle)  d coordinates of Q r   
    
sboosy (3011)

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\mbox{We require integral solutions of} \ x^2+y^2<16 \\ \\ \mbox{to obtain the integral pts. within the circle} \\ \\ \mbox{Possibilities are} \ (0,1),(0,2),(0,3) \\ \\ \mbox{Now x and y coordinates can interchange} \\ \\ \mbox{Also we could have them as negative} \\ \\ 3*4 = 12 \\ \\ \mbox{Doing the same multiplication for} \ (1,1),(1,2),(1,3),(2,2),(2,3) \\ \\ \mbox{we get} \ 32 \ \mbox{cases} \\ \\ \mbox{Now adding} \ (0,0) \\ \\ \mbox{We get the final answer as} \ 45
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chemicaltester (428)

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to find length of chord on y axis
put x = -0 in equatioon
u will find a quadratic eqntion in y
i.e
y^2 -7y +12 =0
hence y=3 or 4
so distance between two point on chord is 1 unit
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