IIT-JEE 2005 Mains | Circle Question 37 | Mathematics

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-1

Circles with radii 3, 4 and 5 touch each other externally if P is the point of intersection of tangents to these circles at their points of contact. Find the distance of P from the point of contact.

$$\sqrt3$$

$$\sqrt5$$

IIT-JEE 2004 Screening

MCQ (Single Correct Answer)

-0.5

If one of the diameters of the circle $${x^2} + {y^2} - 2x - 6y + 6 = 0$$ is a chord to the circle with centre (2, 1), then the radius of the circle is

$${\sqrt 3 }$$

$${\sqrt 2 }$$

IIT-JEE 2003 Screening

MCQ (Single Correct Answer)

-0.5

The centre of circle inscibed in square formed by the lines $${x^2} - 8x + 12 = 0\,\,and\,{y^2} - 14y + 45 = 0$$, is

(4, 7)

(7, 4)

(9, 4)

(4, 9)

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)

-0.5

If $$a > 2b > 0$$ then the positive value of $$m$$ for which $$y = mx - b\sqrt {1 + {m^2}} $$ is a common tangent to $${x^2} + {y^2} = {b^2}$$ and $${\left( {x - a} \right)^2} + {y^2} = {b^2}$$ is

$${{2b} \over {\sqrt {{a^2} - 4{b^2}} }}$$

$${{\sqrt {{a^2} - 4{b^2}} } \over {2b}}$$

$${{2b} \over {a - 2b}}$$

$${{b} \over {a - 2b}}$$

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