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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: circle
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asish (328)

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A circle 'C' whose radius 1 unit,touches the X-axis at pt.'A'.the centre 'Q' of 'C' lies in
1st quadrant.the tgt from origin 'O' to the circle touches it at 'T'and a pt. 'P' lies on this tgt such that OAP is a right angled triangle with right angle at 'A' &its perimeter is 8 units
wat is length of QP
(a)1/2units            (b)4/3units        (c)5/3 units           (d)7/3units
pls explain with soln                       
    
ashish_banga (984)

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the answer is 5 /3
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asish (328)

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thats right
gimme the soln pls
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asish (328)

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pls reply soon
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asish (328)

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even i know that 5/3 is the answer pls post the soln
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Shesha (95)

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??

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Shesha (95)

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QP= 7-(pt+2oa).....
wat will the values..of oa and pt be??

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the perimetergiven - perimeter of trngle?

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pls. help!!

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joyfrancis (1504)

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A -->(a,0)
 
Q--->(a,1)
 
P--->(a,t)
 
T--->cos@,sin@...{parametric co-ordinates of a circle}
 
Perimeter = a+t+((a^2+t^2)^1/2)=8.....(1)
 
tan@ = t/a....(2)
 
(a-cos@)^2 + (1-sin@)^2 = 1....(3)..
 
solve the 3 equations with unknowns a,t and @
 
 


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