NARAYANA IIT/PMT ACADEMY - Narayanaicc.com
NARAYANA IIT/PMT ACADEMY - Narayanaicc.com
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