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NARAYANA IIT/PMT ACADEMY - Narayanaicc.com

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Sol<br />

n<br />

Lt<br />

1<br />

0<br />

n<br />

n<br />

n<br />

Lt<br />

Lt<br />

Lt<br />

1<br />

n 1<br />

n<br />

a 1<br />

a<br />

n 1<br />

a 1<br />

<strong>NARAYANA</strong> <strong>IIT</strong>/<strong>PMT</strong> <strong>ACADEMY</strong><br />

JEE ADVANCE : 2013<br />

n<br />

r 1<br />

n<br />

r 1<br />

n<br />

r<br />

na<br />

n<br />

a<br />

r 1<br />

n<br />

r 1<br />

r<br />

r<br />

n<br />

a<br />

n<br />

1 r<br />

a 1<br />

n n r 1 n<br />

a 1 n<br />

n 1<br />

1<br />

1<br />

a<br />

x dx<br />

0<br />

a<br />

x dx<br />

r 1<br />

a<br />

r<br />

n<br />

a<br />

1 r<br />

a<br />

n n<br />

n<br />

1 r<br />

1 n r 1 n<br />

a 1 n<br />

1 1 r<br />

a<br />

n n r 1 n<br />

1<br />

60<br />

a<br />

2<br />

2a 3a 119 0<br />

(PAPER – II) CODE: 0<br />

17<br />

a 7,a<br />

2<br />

48 Circles(s) touching x – axis at a distance 3 from the origin and having an intercept of length<br />

2 7 on y-axis is (are)<br />

2 2<br />

2 2<br />

(A) x y 6x 8y 9 0 (B) x y 6x 7y 9 0<br />

2<br />

(C) x<br />

2<br />

y 6x 8y 9 0 (D)<br />

Ans (A, C)<br />

Sol Let circle be<br />

2<br />

x<br />

2<br />

y 2gx 2fy c 0<br />

2 2<br />

g c,2 f c 2 7<br />

g 3,c 9,f 4<br />

So circle will be<br />

2 2<br />

x y 6x 8y 9 0<br />

2 2<br />

x y 6x 7y 9 0<br />

<strong>NARAYANA</strong> GROUP OF EDUCATIONAL INSTITUTIONS - INDIA<br />

29

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