jee-advanced 2010 Q45

jee-advanced · India · paper1 Circles Tangent Lines and Tangent Lengths

The circle $x ^ { 2 } + y ^ { 2 } - 8 x = 0$ and hyperbola $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1$ intersect at the points $A$ and $B$.
Equation of a common tangent with positive slope to the circle as well as to the hyperbola is
A) $2 x - \sqrt { 5 } y - 20 = 0$
B) $2 x - \sqrt { 5 } y + 4 = 0$
C) $3 x - 4 y + 8 = 0$
D) $4 x - 3 y + 4 = 0$

The circle $x ^ { 2 } + y ^ { 2 } - 8 x = 0$ and hyperbola $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1$ intersect at the points $A$ and $B$.

Equation of a common tangent with positive slope to the circle as well as to the hyperbola is\\
A) $2 x - \sqrt { 5 } y - 20 = 0$\\
B) $2 x - \sqrt { 5 } y + 4 = 0$\\
C) $3 x - 4 y + 8 = 0$\\
D) $4 x - 3 y + 4 = 0$

Paper Questions

Q29 Q30 Q31 Q32 Q33 Q34 Q35 Q36 Q37 Q38 Q39 Q40 Q41 Q42 Q43 Q44 Q45 Q46 Q47 Q48 Q49 Q50 Q51 Q52 Q53 Q54 Q55 Q56